WEBVTT 1 00:01:10.109 --> 00:01:13.379 Okay, good afternoon class. 2 00:01:23.185 --> 00:01:30.715 2nd here. Oh, okay. I have to chat window open. So if there's any questions, then. 3 00:01:30.959 --> 00:01:40.170 Folks from there, I might see them, so the major attraction today is professor Edwin photon will be giving us. 4 00:01:40.170 --> 00:01:49.379 To talk about condense matter, physics and quantum computing he will come in, I think, at 5 o'clock. So, until then a few minutes. 5 00:01:49.379 --> 00:02:01.859 Mentioned some various things 1st, reminder final project presentations are the last 3 classes of the semester. If you have a preferred. 6 00:02:01.859 --> 00:02:16.469 Date then, let me know within the next couple of days before the next class, I will assign any 1 who did not email me just I'll fill out the things in alphabetical order or something. 7 00:02:17.004 --> 00:02:29.935 So, the 2nd graded and published homeworks up through 6 so there'll be a special case. Scott was your 1st in class presentation and your submissions were excellent. Thank you. 8 00:02:30.324 --> 00:02:36.324 If the semester ended today, your estimated grade would be either an, a minus or an, a, for everyone. So. 9 00:02:36.599 --> 00:02:45.180 Lowest grade, so far would be a minus. Of course if you screw up the final project badly enough well, that could change but. 10 00:02:46.680 --> 00:02:53.879 Other things while we're waiting, I think I'd like to show. 11 00:02:53.879 --> 00:02:58.379 A little blurb from. 12 00:02:58.379 --> 00:03:10.919 On Honeywell and so we can see what Honeywell is doing and then what I'll do Monday, depending on how long our speaker is out, I'll show you the, but I don't want to show just 5 minutes of the. 13 00:03:10.919 --> 00:03:14.219 Christopher Munroe, but I can show. 14 00:03:14.219 --> 00:03:17.219 Quantum computing from Honeywell. 15 00:03:18.810 --> 00:03:23.099 Silence. 16 00:03:24.210 --> 00:03:32.819 My name's John I creates can today we're going to talk about quantum computers. 17 00:03:32.819 --> 00:03:43.949 Because the recent news from Honeywell is that they have the best performing quantum computer out there and there is some data behind it. So let's have a look at that. 18 00:03:43.949 --> 00:03:57.689 So, for those of you who don't know what is a compound is specializing in high performance computing, but usually this outside of quantum, they've been experimenting with quantum for a couple of years now and. 19 00:03:57.689 --> 00:04:00.840 They might have some results so let's have a look at that. 20 00:04:00.840 --> 00:04:08.669 So, basically, what they're claiming is that they have a quantum computer with a quantum volume of 64. 21 00:04:08.669 --> 00:04:13.560 So, you might ask what's the quantum volume and that's a good question. 22 00:04:13.560 --> 00:04:22.800 So, usually, when there are claims about quantum computers, being more powerful, that the last existing of the market usually. 23 00:04:22.800 --> 00:04:29.968 There's nothing in there most the time. So for how many cubeys you have for. 24 00:04:29.968 --> 00:04:38.848 What are other different statistics quantum volume notion produced by IBM researchers? And we'll discuss that in a moment. 25 00:04:38.848 --> 00:04:44.788 But there's been some criticism criticism to this notion of quantum volume. 26 00:04:44.788 --> 00:04:50.608 Basically, what what kind of quantum computer they have is the trap quantum computer. 27 00:04:50.608 --> 00:05:00.598 And there's some discussion in the blog post that I will link for you down below there's an explanation of what is quantum computing. 28 00:05:00.598 --> 00:05:05.369 And what that partnership they have, and so on so on. 29 00:05:05.369 --> 00:05:17.968 Still those kind of quantum computers are the nice era. So, uh, noise to quantum systems, which means they are not really useful commercial yet. They might be useful for research. 30 00:05:17.968 --> 00:05:25.949 So, let's go back to quantum volume and think about why Honeywell is claimed that they have the best performing quantum computer. So. 31 00:05:25.949 --> 00:05:35.158 There's another text linking of how far a volume is calculated, but to look at the original paper from IBM research as well. 32 00:05:35.158 --> 00:05:42.358 Um, and they match the, the quantum volumes are a couple of things that are going into. So number of Cubics. 33 00:05:42.358 --> 00:05:45.718 I write and then connectivity of Cubics. 34 00:05:45.718 --> 00:05:51.238 So, basically, that there is this problem that when you do computational with computers. 35 00:05:51.238 --> 00:06:01.439 You have this whole because the cohesion alignment, and now is coming into your computations, which totally make. 36 00:06:01.439 --> 00:06:11.939 My invite all the computations you're making and so it's much harder to control quantum computer is that classical computers and so. 37 00:06:11.939 --> 00:06:24.629 Number of Cubics snow the normal no, not enough of the notion to actually go for a because if you were just to compare a number of Cubics, then D wave is winning by large because I think they have like. 38 00:06:24.629 --> 00:06:32.038 608000 cubital and daylight smashing, but they are all. 39 00:06:32.038 --> 00:06:38.848 Connected to, like, in the line so there's not much you can do compared to more. 40 00:06:38.848 --> 00:06:42.749 Come back to kind of arrangements of cubic, especially. 41 00:06:42.749 --> 00:06:55.559 The 1, who would like to have is the kind of a fully connected quad machine where average cubeys is connected with every other and then you can start talking about quantum entanglement between all the Arctic few minutes and get. 42 00:06:55.559 --> 00:06:59.939 Get the, most of the, all out of the computation. So this is like the most. 43 00:06:59.939 --> 00:07:04.738 Normally, in our way of growing through computing power, the problem here is however that. 44 00:07:04.738 --> 00:07:13.619 If you're increasing this way of connectivity, then you're also increasing the noise and you also increasing the potential your rates between all those. 45 00:07:13.619 --> 00:07:19.738 Cube, it's good connecting speaking with each other and that's a huge problem. And that's why. 46 00:07:19.738 --> 00:07:23.639 You need to also take that into account when you're thinking about. 47 00:07:23.639 --> 00:07:27.059 Commercial applications of quantum computing. 48 00:07:28.194 --> 00:07:41.363 So, yeah, let's have a look at the original paper original paper from IBM, this called validating, quantum computers, using randomized model. Syracuse. The newest version is from 2019 last year, but I think this dates back to 2017, just as Honeywell mentioned. 49 00:07:44.759 --> 00:07:50.968 And there's a nice formula for it. Basically they start with like, the Syracuse you want to do computations with. 50 00:07:50.968 --> 00:07:55.048 And they look at different implementations in your. 51 00:07:55.048 --> 00:07:58.319 Nice could devise in quantum computer. You have. 52 00:07:58.319 --> 00:08:03.418 And so that you can compute the depth of the model. So let's have a look at the formula. 53 00:08:03.418 --> 00:08:14.249 Uh, if you yeah, the formula basically for quantum volumes here is the log of the arc marks mean and the, um, but basically what it's saying is that. 54 00:08:14.249 --> 00:08:18.509 It really depends on how you can. 55 00:08:18.509 --> 00:08:33.114 Implementer model Syracuse and you go over different periods to model that which is basically roughly saying that high the bank of the number of Cubics, depending of the guys, connectivity and stuff like that. Everything is going to. 56 00:08:35.879 --> 00:08:41.849 And they've completed something is the thing T, Magic core measure rank. 57 00:08:41.849 --> 00:08:44.969 I'm not sure this is the best metric to actually. 58 00:08:44.969 --> 00:08:51.749 Uh, compare different quantum computers where, especially that you have different technologies going into different quantum computers. 59 00:08:51.749 --> 00:08:56.609 And this kind of criticism is prevalent also in other. 60 00:08:56.609 --> 00:09:08.668 In other resources, there's an article from venture beat coming from 3 months ago before Honeywell even at the moment they announced the computer, but before they release it. 61 00:09:08.668 --> 00:09:15.989 There is some criticism of Honeywell and the quantum volume, so exactly. Like, what is quantum volume really? 62 00:09:15.989 --> 00:09:20.009 It's really useful and if you go down below, then actually. 63 00:09:21.899 --> 00:09:27.149 They tried VentureBeat tried to contact a couple of other companies, like, regarding. 64 00:09:27.149 --> 00:09:39.119 And they said that they don't really care about the notion of the quantum volume. So, actually the statement by Honeywell is saying that they have the best performing quantum computer. 65 00:09:39.119 --> 00:09:45.239 Means that it's better IBM quantum computer because that's the only quantum computer for which. 66 00:09:45.239 --> 00:09:52.139 Quantum volume has been computed so far and IBM quantum computer had quantum volume of 32. 67 00:09:52.139 --> 00:09:55.708 Honeywell, a quantum computer has the volume of 60. 68 00:09:55.708 --> 00:10:02.399 Bar, so, basically, the whole thing, the whole announcement from Honeywell can take them down to say that. 69 00:10:02.399 --> 00:10:08.308 Honeywell is made the computer, which is twice as powerful as. 70 00:10:08.308 --> 00:10:15.719 The computer from IBM well, after this national quantum volume, and it's hard to say anything behind besides that, because. 71 00:10:15.719 --> 00:10:22.019 It really depends on your approach to quantum computing and, like. 72 00:10:22.019 --> 00:10:27.448 What kind of technology methodology you're using to actually field the cube it's. 73 00:10:27.448 --> 00:10:32.519 And then how you actually perform computations and there's. 74 00:10:32.519 --> 00:10:37.048 There are many different metrics that you can measure your computations. 75 00:10:37.048 --> 00:10:42.839 So having said that, that means that that's a great progress from Honeywell. 76 00:10:42.839 --> 00:10:47.519 And it's not clear that they really have the best quantum computer out of there. 77 00:10:47.519 --> 00:10:51.119 Uh, and it's definitely not the case that. 78 00:10:51.119 --> 00:10:55.528 This is the point where we start to see commercial applications. 79 00:10:55.528 --> 00:11:00.239 Uh, this is basically also what it seems that we gathered saying here that. 80 00:11:00.239 --> 00:11:14.668 They don't care about quantum volume. They only care about the quantum advantage and the quantum advantage being this point, where you have problems that are so label on computers, but not in classical computers. And we still far from this case. 81 00:11:14.668 --> 00:11:19.019 If the doctor there's this claim from, I think that was Google researchers who did. 82 00:11:19.019 --> 00:11:31.469 They did, they did solve 1 problem using quantum computers much better that was related to basically general getting data using some probably some, some. 83 00:11:31.469 --> 00:11:38.369 Data, which was more relate to quantum phenomenon has. 84 00:11:38.369 --> 00:11:41.818 It was better suited to generate. 85 00:11:41.818 --> 00:11:45.869 From quantum computer data from the classical computer. 86 00:11:45.869 --> 00:11:49.739 Using this kind of distributions. 87 00:11:49.739 --> 00:11:55.499 Distributions so we probably will see some applications of this soon in the future but for now. 88 00:11:55.499 --> 00:11:58.979 And quantum computers are still in the research. 89 00:11:58.979 --> 00:12:11.698 So this is basically what I wanted to say around Honeywell, quantum computer right now, but definitely swore following the whole space as there are more and more. 90 00:12:11.698 --> 00:12:17.879 Interesting announcements coming basically, every month, every 2nd month right now. 91 00:12:17.879 --> 00:12:23.548 Thank you for watching it realizes come to us please subscribe to my talent and seeing the next that result. 92 00:12:24.928 --> 00:12:28.589 Silence. 93 00:12:33.058 --> 00:12:36.149 So, you know, waiting, I'll show, um. 94 00:12:37.678 --> 00:12:41.489 A 3 minute thing from Honeywell. 95 00:12:41.489 --> 00:12:46.918 So, get commentary on it. See what they're saying. 96 00:12:46.918 --> 00:13:00.538 Could I interest you in quantum computing as a service? Honeywell has unveiled model H1 a quantum computer with 10 Cubans, reaching a quantum volume of 128 quoting tech crunch. 97 00:13:00.538 --> 00:13:11.994 That's higher than comparable efforts by IBM, but also well, behind the QV 4M machine ironic says it was able to achieve with 32 Cubans. The H1 will be available to enterprises through the Azure content platform. 98 00:13:12.024 --> 00:13:25.043 And the company says it is partnering with computing and Cambridge, quantum computing on this project in addition to the next generation of its quantum computer the company also today announced its overall quantum roadmap for the next 10 years. 99 00:13:25.073 --> 00:13:35.333 The plan here is to go from 10 to 40 Cuba with all to all activity, as it moves toward a next generation of devices that are fault tolerant and can be deployed at a larger scale and quote. 100 00:13:36.869 --> 00:13:43.469 Yeah, yeah, yeah great. But what about that quantum computing as a service thing quoting net. 101 00:13:43.469 --> 00:13:56.188 The tech world may have to make room for a new acronym perhaps Cuba as a service class or some, such as Honeywell has introduced what appears to be the 1st subscription based plan for quantum computing usage. 102 00:13:56.188 --> 00:14:09.413 With the introduction, Thursday of the companies model H1, quantum computer with 10 Cubans and a logical quantum volume of 128 the company detailed plan to charge in a subscription fashion, based on monthly access to the machines. 103 00:14:09.413 --> 00:14:21.083 The subscriber license gives a company access over the course of a month to blocks of quote, dedicated time in 2 different flavors, standard and premium with 8 hours per month, dedicated time or 16 hours respectively. 104 00:14:21.083 --> 00:14:35.153 The idea of blocks of time is to accommodate the need to provide something like quality time in which to do quantum experiments. Quote, we're talking about significant time said, Tony, ugly president of Honeywell, quantum solutions and an interview with leading that. 105 00:14:35.153 --> 00:14:49.524 That's what we're finding is the most useful right now. It's not gonna be a 5 minute interaction with a quantum computer. It's not even going to be an hour long interaction. Sadly, these are interactions that you want to have tens of hours on before you can demonstrate the kind of utility coming from the systems. 106 00:14:49.524 --> 00:14:59.964 And 1 reason for the subscription is that there is still substantial handholding that happens those windows of time include participation with the customer by Honeywell, 107 00:14:59.964 --> 00:15:03.744 quantum serus and Honeywell operations teams who work hand in hand, 108 00:15:03.744 --> 00:15:04.163 with customers, 109 00:15:04.163 --> 00:15:10.913 the hands on approach of Honeywell to customer subscriptions makes sense given that much of the work that customers will be doing initially, 110 00:15:10.913 --> 00:15:13.073 is to gain a sense of trust. 111 00:15:13.073 --> 00:15:27.354 Sadly, they will be seeing what results they get from the quantum computer and matching those do the same work on a classical computer to validate that the quantum system produces correct output on top of the blocks of dedicated time. Each subscriber can get queuing time set. 112 00:15:27.354 --> 00:15:30.504 Where jobs are processed as capacity is available and quote. 113 00:15:33.058 --> 00:15:39.928 So, I love this I love the idea of class Q. a s quantum as a service, but I also love. 114 00:15:39.928 --> 00:15:45.239 That we've basically reinvented good old time share computing. 115 00:15:45.239 --> 00:15:51.389 Okay class, um. 116 00:15:51.389 --> 00:16:00.208 Okay, I'm trying to connect in progressive photon. Give me a minute or 2. I'll have to. 117 00:16:02.818 --> 00:16:08.548 Hey, I, I am connected. I am here I am, um. 118 00:16:18.239 --> 00:16:23.009 Silence. 119 00:17:17.098 --> 00:17:21.239 Oh, sorry I was muted floor. Is yours? 120 00:17:21.239 --> 00:17:28.528 Thank you. I can't hear you. 121 00:17:28.528 --> 00:17:32.278 At the moment, yeah, I was, I was muted them. Okay. 122 00:17:32.278 --> 00:17:37.318 Still trying to get used to the, uh, Webex and everything. It's. 123 00:17:37.318 --> 00:17:43.739 Vision yeah. Here we go. 124 00:17:43.739 --> 00:17:48.868 So, thanks a lot for, for inviting me to, uh. 125 00:17:48.868 --> 00:17:58.229 To talk to your class about the kind of research, which I am the forming within my group and, uh. 126 00:17:58.229 --> 00:18:09.868 How it relates to quantum computing so most specifically, I'm, I'm a physicist by training, but I'm sitting in a material science department so I. 127 00:18:09.868 --> 00:18:16.739 Have to think about the type of materials are the types of platforms that we could use for. 128 00:18:16.739 --> 00:18:25.858 Either for quantum computation for, uh, for quantum logic. So, basically we're interested in looking at and starting. Now. 129 00:18:26.124 --> 00:18:37.314 Materials that could could host a candidate structures for a, for QB tax from solid state or even a big article. 130 00:18:37.314 --> 00:18:44.183 In this case the polarized light meaning the is the. 131 00:18:45.028 --> 00:18:52.588 It's been a momentum of light or the arbitrary line. Yeah. 132 00:18:52.588 --> 00:18:59.098 Twist at the twist, the middle of the phase, but here's specifically I'm going to focus on. 133 00:18:59.098 --> 00:19:03.959 On an X, Ray, none of vision a push a way in, which we can. 134 00:19:03.959 --> 00:19:05.243 Study manuals, 135 00:19:05.243 --> 00:19:05.513 care, 136 00:19:05.513 --> 00:19:20.453 materials and control topological topological defects somehow identify a topological excitations in 137 00:19:20.453 --> 00:19:27.894 this case quite particles that could be used as some possible platforms in solid state, 138 00:19:28.554 --> 00:19:29.483 a material. 139 00:19:29.513 --> 00:19:30.443 So you could always. 140 00:19:30.983 --> 00:19:32.844 Visit the good web page, 141 00:19:32.844 --> 00:19:40.614 or should be an email out always be excited to talk to you about the kind of research that we, 142 00:19:42.983 --> 00:19:45.653 I don't know if I'm going to have enough time to go through everything, 143 00:19:45.653 --> 00:19:57.173 but I would just be as brief as I can be or talk about the reason for developing a lead slice imaging technique and how this approach could provide. 144 00:19:58.733 --> 00:20:03.233 Information information about material in the time domain, 145 00:20:03.683 --> 00:20:09.023 and also about material in the rear space domain, 146 00:20:09.233 --> 00:20:10.824 space domain we could study, 147 00:20:12.173 --> 00:20:16.884 he couldn't resolve the structure of a given material partial. 148 00:20:17.489 --> 00:20:22.558 Uh, displacement of, of, of, of of outcomes. If you have displacement fields. 149 00:20:22.558 --> 00:20:27.209 You can, you can calculate strength cancers and, uh. 150 00:20:27.209 --> 00:20:27.778 Imagine, 151 00:20:27.773 --> 00:20:30.354 if you have a fair electric material material, 152 00:20:30.354 --> 00:20:32.064 which invasion space, 153 00:20:32.243 --> 00:20:34.193 spatial investment symmetry is broken, 154 00:20:34.733 --> 00:20:36.594 it means with an external electric field, 155 00:20:36.594 --> 00:20:48.443 you could displace ions and that displays ions normally would have given a fair electric typo at a moment. 156 00:20:48.443 --> 00:21:00.084 And then this gives you some state known as the polarization, and those prioritization units could be used for storage, or completed same for the magnetic materials. 157 00:21:00.084 --> 00:21:14.693 Now, the challenge is to find snipers, which have particles that are protected on a given type of information. So, you could use them for computing. 158 00:21:15.834 --> 00:21:23.874 I would like to show this slide 8, it shows the application of technology and daily life. 159 00:21:23.874 --> 00:21:31.824 This is just a slide from the is to get the open the open these days. The. 160 00:21:32.723 --> 00:21:45.713 Uh, is the is the railway, so I did my PhD in Germany, and I happened to take a pretty nice picture to sort of think about where I would like to be 9 years. 161 00:21:45.713 --> 00:21:59.183 So, 8 years down the line, I don't want it to be. So, I'm very excited about getting into science. So why are we thinking of our quantum materials? Why do we want to go on to how does. 162 00:22:01.074 --> 00:22:07.884 Quantum matures related with, with Nano scale. I have 2 extremes here. 163 00:22:08.453 --> 00:22:23.423 It's the so called quantum quantum gram and then in here, I have a simplistic classic art wrench in the task. I really have a think of of mass attached to a Sprint, and he's fixed on 1 end. 164 00:22:23.423 --> 00:22:29.124 You can you can pull the spring and the spring can isolate back and forth. If you. 165 00:22:30.144 --> 00:22:38.784 If it was isolating Friday, he could estimate the, you know, the weight of the mass. So there's a weight energy. 166 00:22:38.784 --> 00:22:48.953 If it's posted downward and that way, it should be equivalent to the, the tone and falls. That is causing the Sprint to move. 167 00:22:48.953 --> 00:23:03.713 And you could derive from sort of mounting equation you could have your mass time to secondary get with displacement fields should be equivalent to the Sprint constant multiplied by the displacement and you could have morning equation. 168 00:23:03.989 --> 00:23:11.183 On come on with a lake and also lecturing solution for the displacement field spacing, 169 00:23:11.183 --> 00:23:20.423 fear come up with the velocity and the acceleration you basically have this parabolic type profile of behavior of the velocity field. 170 00:23:20.969 --> 00:23:34.104 I'm now the same approximation classically if you go down into, into crystal structures, you think of a periodic lattice atoms are equal in periodic period. 171 00:23:34.104 --> 00:23:45.084 In the sense, if it's in either structure the, there's a mathematical concept that scientists mature scientists and pleases like to use to describe the symmetry, which are the. 172 00:23:45.509 --> 00:23:58.523 The body, the atomic position what? Symmetry base so, this is the Krista let's say some Mathematica construct that. We used to show what type of symmetry, that structural forms. 173 00:23:58.523 --> 00:24:10.913 For example, things like iron at room temperature would be from a BCC body centered crystal, something like weaker or go from an EPC. 174 00:24:10.913 --> 00:24:18.594 So that the atoms are arranged himself to form a fade centered cubic picture of the atom to individual outcomes. 175 00:24:19.284 --> 00:24:24.773 You look at the intercom and potential between those 2 you have this Lennar Jones potential, 176 00:24:24.773 --> 00:24:25.913 for example, 177 00:24:26.993 --> 00:24:28.794 you have an equilibrium distance, 178 00:24:28.884 --> 00:24:30.263 which if you push the atoms, 179 00:24:30.503 --> 00:24:34.433 when it's going to be attractive for bringing it back together and bring them together, 180 00:24:34.673 --> 00:24:36.473 it's going to be the 1st, 181 00:24:36.473 --> 00:24:40.074 that pushes them in some way the atoms can, 182 00:24:40.134 --> 00:24:42.564 you can see that picture as a classical vibration. 183 00:24:42.564 --> 00:24:42.773 So, 184 00:24:42.773 --> 00:24:44.574 within that crystal structure, 185 00:24:44.574 --> 00:24:53.963 you can think of every individual pair of Atom looking like this picture you can come up with and also literally, 186 00:24:55.223 --> 00:24:56.153 some wave, 187 00:24:56.273 --> 00:25:00.683 which is related to the displacement feel also increase sound wave. 188 00:25:01.223 --> 00:25:15.743 We call them phones and those phone on observation. You have individual modes, because you have frequencies that can be on ties now to look at this type of composition picture there. 189 00:25:15.743 --> 00:25:18.503 2 ways you can do that. You could say I want to. 190 00:25:18.898 --> 00:25:27.088 Atoms are also leading atomic atomic displacement. Where about the electron the electrons. 191 00:25:27.324 --> 00:25:27.743 Right now, 192 00:25:27.743 --> 00:25:32.153 you have electron phone and Scott will have electrons if it's a medal, 193 00:25:32.153 --> 00:25:38.003 you have conduction electrons you see the structure the electrons can scatter with the, 194 00:25:38.784 --> 00:25:42.503 with the framework of the crystal. 195 00:25:43.074 --> 00:25:54.804 If you know who down the system we call it down to absolute 0. 0, 0T, Calvin, you've frozen semi vibration. So firstly. 196 00:25:55.108 --> 00:26:03.358 On the phone and vibration, the electrons can flow with very low resistance and. 197 00:26:03.358 --> 00:26:11.364 Without hitting so much of that vibrating that is, to some extent at that point, you can start in quantum behavior of the electrons. 198 00:26:12.114 --> 00:26:26.213 That's 1 way another scenario that you could, you could also reduce the dimensionality of the Christa. You want to move away from a bog crystal and reduce the crystal to a nominal size crystal. 199 00:26:26.213 --> 00:26:31.284 So, an object of 4 dimensions, 10 tend to the minus 10 by 10 minus 9. 200 00:26:32.009 --> 00:26:37.709 In units of dosing in 10 to 800. the interesting thing right now is that. 201 00:26:37.709 --> 00:26:40.769 When you go to the, those dimensions. 202 00:26:41.034 --> 00:26:44.963 The wave property of the electron now, 203 00:26:44.963 --> 00:26:48.413 starts it plays a very important role or so, 204 00:26:48.413 --> 00:26:57.354 the electrons in the class stop picture of copy still at the particle particle also lead and create an isolated field. 205 00:26:57.683 --> 00:26:57.864 Now, 206 00:26:57.864 --> 00:27:00.624 when you crude on the system dimensionality, 207 00:27:01.074 --> 00:27:09.354 you bring in something on the relationship that relates wavelength to particle that has momentum, 208 00:27:10.013 --> 00:27:12.534 meaning that for every massive object, 209 00:27:12.534 --> 00:27:16.703 there was a wave like properties that could be used to describe the, 210 00:27:17.544 --> 00:27:18.953 the way function in this case. 211 00:27:18.953 --> 00:27:26.304 The way function that describes the momentum of article. So, under these circumstances, once you go Nano. 212 00:27:28.558 --> 00:27:37.378 Think film, I think from the of of with, let's say 10 nanometers and it is and it is a. 213 00:27:37.378 --> 00:27:47.489 The length in the X, and Y, direction could be a couple of my credits could be couple of years. Now the, uh, the, the wave. 214 00:27:47.489 --> 00:27:52.648 Then long that which is so, which is so related H by all of a p. 215 00:27:52.648 --> 00:28:01.048 Uh, the to pursue a wavelength for that wave in this direction, the electronic way function has a. 216 00:28:01.048 --> 00:28:08.844 A, very large degree of freedom you can also so wait why in the short direction it is confined. It is confined by the dimensionality. 217 00:28:08.844 --> 00:28:17.153 So now that confinement in none of duration, it gives it, it makes the electronic all because the. 218 00:28:17.429 --> 00:28:25.499 Uh, too, if you look now in momentum Spacey E, versus against case, based the electronic all because. 219 00:28:25.499 --> 00:28:35.153 Would look very different, so if you take a stand that insulate or you can plot, you can have a, you can have, we can have a conduction ban. 220 00:28:35.513 --> 00:28:40.644 You can have 1 band you can have 1 band and then this would be. 221 00:28:41.903 --> 00:28:46.284 This would be energy and this will be momentum and momentum space. 222 00:28:46.284 --> 00:28:52.044 If you take the reciproca off a periodic Gladys lease basic energy against momentum, 223 00:28:53.334 --> 00:29:05.183 what distinguishes an insulator from America from different types of material semiconductor would be the gap between this is the expand this function. 224 00:29:05.183 --> 00:29:16.794 This function and cancel that solution to that installation cost behavior. So, this gap is pretty wide for integrators for, for semiconductors. 225 00:29:16.794 --> 00:29:25.703 The gap is very narrow for Silicon, the bank. And it's easy for your menu made is about 0T.8. So it's pretty close. 226 00:29:25.703 --> 00:29:38.513 It means that for the equipment, you put a little bit of energy to the system electrons, kind of help from the variance, buy into the conduction, create holes. And but we have our semiconductor distribute the interesting thing. 227 00:29:38.513 --> 00:29:39.144 Right now, 228 00:29:39.144 --> 00:29:41.753 what I was saying is that depending on the nature of the particle, 229 00:29:41.753 --> 00:29:44.334 the outside in metallic beat semiconductor, 230 00:29:44.334 --> 00:29:45.413 if you use dimensionality, 231 00:29:45.443 --> 00:29:58.134 he can't find the way function to function that describes the momentum of the of the of an electron or collection of electrons. 232 00:29:58.134 --> 00:30:03.473 Then you start having the quantum effect that we're interested in the 1 hand you have quantum, 233 00:30:03.473 --> 00:30:06.743 which is very simplistic motto, 234 00:30:06.743 --> 00:30:08.034 perfect structures, 235 00:30:08.784 --> 00:30:09.203 1, 236 00:30:09.203 --> 00:30:11.574 low temperature for example, 237 00:30:11.574 --> 00:30:12.503 you want to reduce noise, 238 00:30:12.503 --> 00:30:14.423 electron phone scratching. 239 00:30:14.453 --> 00:30:17.723 You have classical and these 2 are inter connected. 240 00:30:19.644 --> 00:30:29.544 And this is why we move from content where you have continuous behavior from the classical way of continues to lower legs where you have content behavior. We have disorganization. 241 00:30:29.784 --> 00:30:30.054 1, 242 00:30:30.054 --> 00:30:30.953 interesting thing is that, 243 00:30:31.403 --> 00:30:33.263 as you reduce the dimensionality, 244 00:30:33.713 --> 00:30:39.023 this the job has become closer and closer means that these, 245 00:30:39.624 --> 00:30:45.354 you're actually closing the gap and we could have very interesting specific material, 246 00:30:45.384 --> 00:30:47.784 which is otherwise an insulator. 247 00:30:48.653 --> 00:31:03.534 They're trying to tighten, make you make a nano particles finish. Suddenly you will start hovering you start to see conductive behavior regions within the conductors. 248 00:31:03.594 --> 00:31:11.453 So so these are some of the motivations what kind of materials that we can study. Now, the challenge is now, what what is the. 249 00:31:12.713 --> 00:31:24.624 The elementary excitation that you can control to be fundamental. It would like to use electrons and holes or different types of particles that are paying. 250 00:31:24.624 --> 00:31:33.923 Sometimes, depending on the type of category, you could have said, Munich systems, you can have any type of systems or into political assume that you can have unknowns. 251 00:31:34.584 --> 00:31:49.223 But again, it's very challenging to have this type of material and temperature for all of the regions of electron. So, that's kind of the motivation why we need to go Nano, although temperature and both. 252 00:31:50.003 --> 00:31:53.183 And the interesting thing that happened at the small. 253 00:31:54.114 --> 00:31:54.894 The nano scale, 254 00:31:54.894 --> 00:31:55.314 you could, 255 00:31:55.614 --> 00:31:55.973 you could, 256 00:31:56.483 --> 00:32:02.364 you could compare interesting for them and then naturally things like the, 257 00:32:02.663 --> 00:32:02.933 the, 258 00:32:03.653 --> 00:32:05.243 the size of the, 259 00:32:06.203 --> 00:32:13.344 the width of the headaches or the dimensionality or whatever molecules are the size of an article where we're reaching this landscape. 260 00:32:13.374 --> 00:32:21.864 This is the Nano war, even though some certain viruses, the coroner, the coven virus right now it oscillates around 112. 261 00:32:21.864 --> 00:32:34.943 if anyone besides the ground and from the technological world, we can also build artificial systems that are all in the nano scale. Interesting. Awesome. Now, you're thinking of timescales times, it goes out very often. 262 00:32:34.943 --> 00:32:45.894 You do have very, very small timescales, such such as the bulb period of electron the precision of an electron. If you have. 263 00:32:46.769 --> 00:32:58.794 If you have a electric spin out versus speeding them, you can have a precision. So the time it takes for speed to precise, they are very, very, very short on time skills. 264 00:32:58.824 --> 00:33:04.973 So, we need techniques that we could see the altered small and also capture the otter fast. 265 00:33:04.973 --> 00:33:11.364 It couldn't be interesting elements for quantum applications, 266 00:33:11.364 --> 00:33:11.874 for example, 267 00:33:11.874 --> 00:33:12.114 1, 268 00:33:12.443 --> 00:33:17.874 logical element storage where you can get rid of nano 2nd, 269 00:33:17.874 --> 00:33:22.973 switch magnetic domains from down to another 2nd, 270 00:33:22.973 --> 00:33:24.144 intention frequency space. 271 00:33:24.144 --> 00:33:31.163 That would be gathered. So, that's how fast you your device would be would be working. 272 00:33:31.614 --> 00:33:46.433 And you need smaller size, so there's this intimate relationship between day or 2, small and fast and very interesting thing. Also someone dynamics and the semi dynamic parameters become. 273 00:33:46.888 --> 00:33:54.233 Interestingly, they become very interesting. I should go down into it to be anonymous copy. What if you think about it? 274 00:33:54.233 --> 00:34:08.153 The fear of family dynamics was built on a system of a macroscopic collection of God's individual atoms, and a large number of atoms and each atom could could vibrate and move around. 275 00:34:08.153 --> 00:34:14.603 And you could estimated square velocity of every single use that to define temperature, 276 00:34:14.603 --> 00:34:18.804 which is microscopic and once you start going into the nano scale, 277 00:34:18.804 --> 00:34:21.773 we'll have to think about things slightly Bozeman, 278 00:34:21.773 --> 00:34:22.403 constant, 279 00:34:23.844 --> 00:34:28.284 which relates to now the entropy of the system. 280 00:34:28.793 --> 00:34:34.193 So, I would switch gears a little bit from that discussion about small and fast. 281 00:34:34.673 --> 00:34:48.023 If you, if you don't think any of you for 201976, this is a picture from we could pay off the Apple 1 computer and with 4, kilobytes of memory. 282 00:34:48.054 --> 00:34:51.474 And this is beside the definition for the CPU. 283 00:34:51.474 --> 00:35:03.503 If you now travel 1 or 2 years, 2 years ago, you look at the, the Apple I think this is the 81012 right now. 284 00:35:03.503 --> 00:35:15.923 I have no idea, but you've, you've moved from a functional by to about 256 in the process, or everything is increase. The top of mind sees, it seems like it. 285 00:35:15.923 --> 00:35:28.943 The interesting thing about this motorcycle in terms of storage you could, you could type taken a 4 paper and on both sides rector vase any time you feel on both sides. 286 00:35:28.943 --> 00:35:42.143 That's the amount of space you could install. So this could be bigger, right? A 1 page thesis on both sides, but nowadays you can do the math and estimate how much in terms of memory and how fast right? So. 287 00:35:46.889 --> 00:35:59.423 We are, we are scientists and, uh, we, we, we're very happy with the fact that we are reducing the sizes for devices. Things are getting faster. And there is a huge need for consumption. 288 00:35:59.423 --> 00:36:03.864 Everyone has charges in the evening this winter. 289 00:36:03.864 --> 00:36:15.923 I mean, everything is on your warming, you're hitting, but mostly tells us that we can't keep on reducing the sizes of our devices benefit the way we want to this fundamental. 290 00:36:15.923 --> 00:36:20.393 We're going to hit the fundamental, fundamental limit in terms of silicone. 291 00:36:20.393 --> 00:36:23.153 Technology is the size of semiconductor, 292 00:36:24.773 --> 00:36:33.293 so it really kind of behooves us to think about new types of ways in which we can store information for the case of storage, 293 00:36:33.293 --> 00:36:34.224 magnetic storage, 294 00:36:34.344 --> 00:36:35.333 the types of ways in, 295 00:36:35.333 --> 00:36:39.443 which we can process faster for the case of processing semiconductors. 296 00:36:39.983 --> 00:36:53.903 And I will try to show you a little bit of some few slides. Maybe a lot of how we can image at the nano scale. I would not say so much about the time domain. It's all different TV. 297 00:36:53.903 --> 00:37:04.943 I was still like to discuss the notion of quantum materials and electronic excitations how elementary presentations, 298 00:37:04.974 --> 00:37:06.233 new types of metrics, 299 00:37:06.233 --> 00:37:08.873 and patients could use to as, 300 00:37:09.054 --> 00:37:13.074 as possible beats classical or even given content. 301 00:37:14.543 --> 00:37:24.804 So just a brief overview. This is, everyone has probably has this in 1 of your old, hard drives the standard hard drive. 302 00:37:24.833 --> 00:37:39.233 It's it's it's a multi layered structure you can have it's called a perpendicular magnetic Trippy. You can have 1 way of iron 2nd, layer of godliness end time. 303 00:37:39.264 --> 00:37:42.384 So, the iron at room temperature, like I said, is. 304 00:37:46.889 --> 00:37:47.213 And then, 305 00:37:47.213 --> 00:37:47.664 oftentimes, 306 00:37:47.664 --> 00:37:48.954 you have the speed exchange, 307 00:37:50.034 --> 00:37:57.443 then this type of a system you have competing energies into how many Tonya diaper are they providing interaction because yes, 308 00:37:59.244 --> 00:38:08.393 you have the stray feud you have all the elastic energy and these things are crystal all of this company together and the system, 309 00:38:08.393 --> 00:38:17.454 what happens is that the system breaks up into magnetic domains and these domains are very useful. 310 00:38:17.784 --> 00:38:24.804 We encode information. The bits of service having ones. Usually I used to present the dial or. 311 00:38:26.070 --> 00:38:36.925 Orientation of this magnetic moments are pointing from Lewis north to South could 0T in from South and North could be 1. and that's how within the field of view a few things fail. 312 00:38:36.925 --> 00:38:43.105 That's how information is recorded is primary irritation in reality and most of this material, 313 00:38:43.135 --> 00:38:45.864 this is how the thing looks like into the, 314 00:38:45.864 --> 00:38:47.905 you have Stripe domains, 315 00:38:47.905 --> 00:38:48.324 this, 316 00:38:48.324 --> 00:38:52.344 try this mandezation into the page and. 317 00:38:53.335 --> 00:38:53.905 And in plan, 318 00:38:53.905 --> 00:38:58.045 you have to kind of come up here and this is how the domain was, 319 00:38:58.045 --> 00:39:04.344 how the domain flicks in out of the page as domain, 320 00:39:04.344 --> 00:39:19.315 or so understanding the type of structures that show us this type of domains being able to study them being able to increase the density being able to optimize the number of 321 00:39:19.344 --> 00:39:22.494 domains for a given surface to volume ratio. 322 00:39:22.945 --> 00:39:31.315 That is how we cannot increase the density in the prototype of the hard drive that I show you what we have in our computers, 323 00:39:31.315 --> 00:39:32.125 our cell phones, 324 00:39:32.275 --> 00:39:33.264 for storage, 325 00:39:34.045 --> 00:39:35.574 you see 9 intimidation for, 326 00:39:35.844 --> 00:39:36.324 for, 327 00:39:36.355 --> 00:39:38.364 for computing that would be semiconductors, 328 00:39:38.905 --> 00:39:43.284 counting charge and stuff like that manually hard drive. 329 00:39:44.215 --> 00:39:57.684 For example, or your disc, it has now these domains picking up into 1 sensor once in 2 years, and to read a magnetic field to be a magnetic field. You also need an external magnet. 330 00:39:57.684 --> 00:40:09.445 So, normally you have a metal that has a piece of current 1st required field and that's the rehab. 331 00:40:09.474 --> 00:40:17.215 You can it can move over the surface of the shipment. You can you can rearrange these things. I mean, these things should. 332 00:40:17.909 --> 00:40:29.639 Flip timescale of Nano. 2nd, so without any defect, everything was perfect, but they always defects these locations and so it doesn't really flip that fast. 333 00:40:30.295 --> 00:40:41.815 Issues come, because we're pushing to go smaller and smaller with our cell phone. We want to write a lot more whether read or write fast and fast, but you don't want to switch on your computer any way for 4 or 5 hours. 334 00:40:41.815 --> 00:40:49.704 Her favorite thing to get booted and started up just because it takes a lot of time for the communication to take place. So we. 335 00:40:50.159 --> 00:40:57.235 Want to go beyond this type of read head technology where you use a current, 336 00:40:57.594 --> 00:40:59.664 if you want to increase the strength of the, 337 00:40:59.695 --> 00:41:00.505 the reach field, 338 00:41:00.505 --> 00:41:02.394 you need more current, 339 00:41:02.425 --> 00:41:06.925 or you need a larger car that somehow it's content achieved. 340 00:41:09.204 --> 00:41:21.894 So, to control magnetic fuse from monetization, you need magnetic field. So there's that food for looking for different types of materials that you could use to control magnetic field for storage. 341 00:41:22.405 --> 00:41:31.315 And 1 of the ideas is to look for the so called mark. I fair. Right? All electric materials now, these are my 2 ways in which you have a copy of. 342 00:41:32.934 --> 00:41:42.684 Fair electric polarization, which is fair electricity and if and magnetism magnetism normally caused you to to entitlement wrestle symmetry's real quick. 343 00:41:42.715 --> 00:41:56.934 This is lost as a result of entropy and then very interesting space spatial symmetry. Innovation. symmetry's is broken. So, there's specific materials that have these properties, like. 344 00:41:59.219 --> 00:42:02.215 A lot of the parents had specific materials, 345 00:42:02.215 --> 00:42:08.815 I'd show this fair magnetic behavior like Nicole a whole class or different transition, 346 00:42:08.815 --> 00:42:10.494 mental materials, 347 00:42:10.494 --> 00:42:12.144 and even somewhere outside, 348 00:42:12.594 --> 00:42:18.264 but to find material that has the existence of both of them is really, 349 00:42:18.264 --> 00:42:29.125 really challenging is 1 of those candidate materials this is how the complex domain structure looks like the technique that is used to image. 350 00:42:29.994 --> 00:42:34.315 This is photo electron and Michelle microscopic. 351 00:42:34.739 --> 00:42:46.289 So, you utilize electrons, eliminate your sample and then the electron. 352 00:42:46.289 --> 00:42:47.875 Interact with the electrical, 353 00:42:47.875 --> 00:42:51.894 the electronic degree of freedom where the sample is electron, 354 00:42:51.894 --> 00:43:06.804 the electrons category and then something is admitted some lightness and we discovered radiation and you can set up a microscopic scenario and have a microscopic image of the spin 355 00:43:06.835 --> 00:43:07.195 texture. 356 00:43:07.195 --> 00:43:09.954 No dispute. Texture has to do with the spin off the electron. 357 00:43:10.289 --> 00:43:24.295 It means that your electron has to be polarized, or sometimes you're also coming with X, Ray, and the extra causes this transition to be polarized. But this is pretty selfish. 358 00:43:24.295 --> 00:43:38.454 This is just the surface. If it's a 29, I made a field, we want to know what's happening as you're slicing 200 field you want to see how everything is happening in the volume of fulfill. This is a false microscopic way user contact coming. 359 00:43:38.755 --> 00:43:42.655 1st, microscopic slide. You introduce some. 360 00:43:46.079 --> 00:43:56.875 Define the sample, because this, this is the fair electric component and electric field the stray and straight information can generate electric field. 361 00:43:56.875 --> 00:44:08.934 You can map out the electric distribution of electric typos, and also the distribution of the magnetic speed basis instead of the 2. D. it is very efficient. 362 00:44:09.239 --> 00:44:18.179 Some of the challenges that you cannot study material around, you kind of put a typical storage device and. 363 00:44:18.179 --> 00:44:32.605 Because electron beans would be if you have an electron apply, a magnetic field magnetic fields, going to start the electron beam on electric field. So you can perform. So called in or in C2 experiments. They are very, very challenging. 364 00:44:33.355 --> 00:44:36.925 So, there's the need for, for 3 dimensional. 365 00:44:38.130 --> 00:44:47.514 Non invasive techniques for volume and the meaning of material is almost mimicking, actively working. 366 00:44:49.315 --> 00:45:02.094 Some of the implications of the things that could happen if we combine the need for that technology with the need for those type of materials. You can answer. We think of interesting thing is very interesting. Like, forever without being diminished. 367 00:45:03.625 --> 00:45:05.784 How would this relate to what we're saying. 368 00:45:07.349 --> 00:45:19.855 Imagine that you can design room, temperature, superconducting wires. You probably tell me that there was a paper that published a room temperature conductor. This was achieved on the high pressure. 369 00:45:20.094 --> 00:45:24.985 We wouldn't be able to study material that has superconducting temperature. 370 00:45:28.014 --> 00:45:33.144 Conductivity means that it's almost a material that has 0T CVT, 371 00:45:33.474 --> 00:45:34.105 resistance, 372 00:45:35.965 --> 00:45:43.675 resistance trumped down as you as a function of the motion of electrons. 373 00:45:43.675 --> 00:45:53.065 So these material electricity will travel forever without superconducting. If we could design this type of material. That's 1 scenario. 374 00:45:53.605 --> 00:45:59.485 And if we could design logical quantum platforms, 375 00:45:59.485 --> 00:46:00.114 we could do, 376 00:46:00.445 --> 00:46:01.644 could run exponentially, 377 00:46:01.644 --> 00:46:05.335 faster computations with perfect accuracy said, 378 00:46:05.695 --> 00:46:12.295 here's the thing that everyone knows about the need for the type of materials that need to get those materials technique. 379 00:46:12.295 --> 00:46:15.715 And they will talk to you folks, how does that work? 380 00:46:16.019 --> 00:46:27.025 How does the wire? What do we go? How do we, how do you understand the logic of the system? The system? How do I understand the dynamic of those type of system? 381 00:46:27.025 --> 00:46:38.155 Knows how the issues that we know would tend to to you folks are the engineers. So, 1 scenario that I'm going to have any that. 382 00:46:38.880 --> 00:46:53.789 I want to bring in I want to bring in quantum. I already talked about quantum. I want to build a apology. I'm going to talk about apology. Now. See my charity talk about symmetry these 3 ingredients symmetry. 383 00:46:54.445 --> 00:47:04.284 Topology and quantum behavior, and find out where he making these 3, you could actually come up with a whole bunch of materials. 384 00:47:05.215 --> 00:47:18.235 So I sent you a couple that you can expect microscopic companies and phases that are topological. So, even trivial, small scale. For example, topological equivalents. 385 00:47:18.235 --> 00:47:27.985 I'm going to discuss a little bit, but this statement means apologies just as a bunch of things you focus on fundamental properties of an object. 386 00:47:28.920 --> 00:47:43.795 And you want a fundamental property of an object, you want a property if it's a political, that does not change if your object is currently being defined SHARES strikes 1 of the easiest example from having. 387 00:47:43.795 --> 00:47:48.085 And the folks who got the Nobel prize, there's this nice picture. 388 00:47:50.429 --> 00:47:56.820 Of a coffee mark, and the job goes that the topologies cannot distinguish the. 389 00:47:56.820 --> 00:47:58.315 Coffee marks from the donor, 390 00:47:58.885 --> 00:48:13.465 because these are all topological equivalent object meaning that you can continuously deform this car into a donor without introducing an extra also in a continuous deformation this can evolve. 391 00:48:14.005 --> 00:48:28.284 So these are topological equivalent object. It is a, it is protected under the type of transformation that took it from 1 form to the next. You can come up with a certain type of group theory that. 392 00:48:28.949 --> 00:48:37.559 This causes topological object once you start bringing in groups here means that you, you are thinking of different classes of systems if you. 393 00:48:37.795 --> 00:48:50.244 Move into quantum mechanics for example, we have we have things like momentum and position things like energy and time commentators. 394 00:48:50.244 --> 00:49:04.945 So you have you have certain objects that from a communicator group. I mean, they are close under this commentator group. They are subsets of sets of rules that these objects are base and generates something or something like that. 395 00:49:04.945 --> 00:49:16.105 So there's a list of mathematics and certain sets of algebra should be satisfied by this object to belong to that group. So, if we can find. 396 00:49:16.980 --> 00:49:31.949 7 objects increase those that confirm to giving topology notice objects could be cost us of electrons in respace. These objects could be cost us of of speed. 397 00:49:31.949 --> 00:49:44.190 Extra Kenyans or or or ions viruses and stuff like that. And if it cannot be continuously defined. 398 00:49:44.605 --> 00:49:50.215 We can control them that is a nice you need and more specifically if you start classifying them, 399 00:49:50.514 --> 00:49:51.594 like elementary particles, 400 00:49:51.594 --> 00:50:01.855 you have any type of distribution versus meaning identical if they come in parents, 401 00:50:01.855 --> 00:50:13.135 then you start moving towards a scenario of using topological defects to show specific products I'm going to show you guys that we could find some candidate materials, 402 00:50:13.135 --> 00:50:17.364 that have topological fields. 403 00:50:17.905 --> 00:50:26.784 That could be user computing or even a storage unit and there's a little bit more about topology. I'm assuming that. 404 00:50:26.784 --> 00:50:37.434 You discuss this within the context of equivalent topological equivalent, but this is the politically equivalent to move from these studies. 405 00:50:37.614 --> 00:50:48.235 You have to deforming, you have to create a twisty equivalent, different forms of carbon. This is equivalent in equivalent. 406 00:50:48.235 --> 00:50:58.195 So, they are interesting features that will bring this nice which part of mathematics and physics it could come up with some very, very interesting. 407 00:50:59.130 --> 00:51:05.489 Union between material science, electronic engineering, computer sciences. 408 00:51:05.489 --> 00:51:14.670 I already talked about this, I talked about the atomic behavior how outcomes can isolate. 409 00:51:14.670 --> 00:51:25.014 Um, I wanted to just say 1 big thing about, is this this, uh, there are topological integrators? Yeah, I'm talking about topological defects. I'm going to see a little bit about topological insulated. 410 00:51:25.014 --> 00:51:30.923 You've probably heard of couple and you're going to see what they are then I'll go back to. 411 00:51:31.559 --> 00:51:44.934 Topological defects, topological objects, elementary excitations within crystals that could be used that would make those materials to the call materials. 412 00:51:46.014 --> 00:51:54.894 So we want classes of new materials for example, 1 route is the topological insulator. I would just say briefly about this, I'm not going to focus. 413 00:51:54.894 --> 00:52:04.855 So much on the base, traditionally, we have conductors, like, go if you have a gold chain and all those type of things going is nice. Everybody likes it. 414 00:52:05.394 --> 00:52:16.554 They're also conductors they're using either connecting or computers they use to make electrodes and stuff like that. So pretty expensive, they don't really add much or they're very useful. 415 00:52:17.425 --> 00:52:30.655 The this is what the bank looks like it's energy increasing and then this is Katie says momentum. This is the conduction band and this is the variance fantasy kind of overlap. And this is the family level. 416 00:52:32.789 --> 00:52:44.190 You have an insulator like, when I use for my, my ceramic, my, my, we all have that. It's a ceramic. It's an oxide it's insulating. 417 00:52:44.425 --> 00:52:54.324 This is why the bank app looks like there's a gap between the conduction, the, the valence band, and the conduction vendors a wide gap. 418 00:52:54.324 --> 00:53:09.264 It means that if I apply an electric field, if I apply acquiring on this material, it will take so much energy for electrons to be able to hop from this and move over here because the conduction. 419 00:53:09.295 --> 00:53:21.625 And I should also say it's empty. It's empty for something to conduct electrons have to move from the various Bank today. Conduction pencil, they become localized. It would take so much amount of energy. 420 00:53:21.625 --> 00:53:33.054 So at least they're wide large bank and live for metros. Actually pretty close. They overlap. And semiconductors sentiment kind of. 421 00:53:34.344 --> 00:53:43.525 The bank app is very, very narrow. So if you take silicone or Germany or Indian guy last night. 422 00:53:44.094 --> 00:53:48.445 Oh, I tried telling my train sensitive to blue light. 423 00:53:48.445 --> 00:53:51.684 You eliminated with a new data you're going to have electrons, 424 00:53:51.715 --> 00:53:52.375 be excited, 425 00:53:53.244 --> 00:54:04.644 get enough energy to jump from the variance binding to the conduction then you could use these 4 areas as possible. 426 00:54:04.675 --> 00:54:05.364 diet's already, 427 00:54:05.364 --> 00:54:12.744 you can combine tires budget cycles so for computing and storage, 428 00:54:14.364 --> 00:54:17.215 there's an interesting transferred material is known as the top, 429 00:54:19.045 --> 00:54:27.594 which comes from a union between this type of to insulate a decent materials that have in the box. 430 00:54:27.625 --> 00:54:35.155 So, the bulk is volume of my film, the support structure in the bar insulating. 431 00:54:37.255 --> 00:54:47.215 The agent conductors, it conducts, there's been a lot of work on this type of topological, let us show. 432 00:54:47.514 --> 00:54:55.824 They have elementary excitations in this case, if you take an insulating material. 433 00:54:56.130 --> 00:55:09.059 And then you apply a strawman that you feel this is a 1 test field going in this way. Now, if this is an, this is an insulator. So remember, I showed you the bank up is why? 434 00:55:09.059 --> 00:55:14.789 misfill would cause electrons in the in the bulk of the material to start. 435 00:55:14.789 --> 00:55:28.824 Moving the so the electrons are rotating like this, but there's no trace. So there's no comment. But the interesting thing is that on the edges, the electrons will be able to hop the way functional actually overlap. It can hop. 436 00:55:28.824 --> 00:55:42.025 So, this is how you can have a conduction at the edge and this kind of really what it does is that it really now is to find it. Absolutely. You have certain levels. That will be created. So, this is and then this, this conduction. 437 00:55:43.375 --> 00:55:47.423 This is known as the heart conductivity is quantitized meaning that. 438 00:55:48.119 --> 00:56:01.974 It comes in, it's context in it in packets and integers of each square by, by, by signal function of the external magnetic field. So now, this is an elementary expectation. 439 00:56:01.974 --> 00:56:13.434 This is it's quantizing 1 disruptor. It could be. This could be users elements to do. Interesting things. We're not going to talk about the topological insulator split that. 440 00:56:13.735 --> 00:56:26.215 So you can also have spin hall conversations, a whole bunch of materials that I would like to talk more about. I'm going to get myself back to the topological defects. Right. 441 00:56:26.215 --> 00:56:33.324 I'm not political, each lead us, but now the couple of people want to see what kind of materials can hub or very. 442 00:56:33.989 --> 00:56:45.809 Interesting degrees of freedom in the federal electric, the electric polarization, or the magnetic typo the manifestation. 443 00:56:46.074 --> 00:56:47.664 Or the magnetic spin, 444 00:56:48.324 --> 00:56:54.985 these are classes so far so the so called more time for materials materials that you can use, 445 00:56:55.644 --> 00:56:58.045 you can use this region, 446 00:56:58.045 --> 00:57:02.275 you can use an external electric field to control the monetization. 447 00:57:02.304 --> 00:57:14.034 Traditionally, you need a magnetic field to control monetization. Electric trolley. Electric polarization 1 cross covered material and control. 448 00:57:14.815 --> 00:57:22.224 Now, if you go back to the picture that I showed you the redhead, it means that instead of using an electric cart. 449 00:57:23.184 --> 00:57:37.255 To create a magnetic field on the magnetic remind me, you can use an electric field and 1 advantage of an electric trade is that there's very little heat dissipation. If he's if you're using current I mean, he just impatiently ice cream. 450 00:57:38.034 --> 00:57:44.605 Thanks. You have disability covering a fear is better and electric field is better. 451 00:57:44.605 --> 00:57:58.824 You can use that voltage and control and be fancy or vice versa, using to control the ordering of the case, the electric type or so these are some classes of so called. 452 00:57:59.579 --> 00:58:07.500 Material, so you have a class of offer the green, for example, these are classes of federal electric. 453 00:58:07.500 --> 00:58:14.844 Bam, tighten it, these materials, all have an invasion symmetry. 454 00:58:14.844 --> 00:58:19.914 If you apply an electric feel and feel a spontaneous organisation, 455 00:58:20.994 --> 00:58:23.605 if you apply a stress or a strain, 456 00:58:23.605 --> 00:58:25.735 you generate arrangements, 457 00:58:25.735 --> 00:58:27.954 you're going to create the title of the items, 458 00:58:27.954 --> 00:58:35.635 reorganize themselves as domains or different topological structures of diapers that will form clusters, 459 00:58:35.905 --> 00:58:38.844 which could be very interesting you also have some. 460 00:58:39.150 --> 00:58:47.784 Contact furniture material and then we have some magnetic materials, and you have some magnetics. It is there are some few classes. 461 00:58:47.784 --> 00:59:02.635 It's not enough 1 of the challenges that the audience temperature, the temperature of transition of this material empire, magnetic to Pharoah, magnetic phase. 462 00:59:02.635 --> 00:59:17.425 For example, that all the temperature is, it's very, very low. It's not room temperature. I, for the case, I'll defer electric temperature from the highest matrix electric Lucy mentioned for electric phase. 463 00:59:18.505 --> 00:59:32.094 It's pretty high. So to follow up with services 500 degrees Celsius. None of our laptops don't have it working in his last temperatures. I usually have a juggle 1 of my students that sensors, track device. 464 00:59:32.215 --> 00:59:33.625 Every time you have to. 465 00:59:34.139 --> 00:59:45.239 Take your laptop into assignment. Of course, you have to think about the heat and everything. So I find that. So there are a couple of other parameters for a electricity. 466 00:59:45.239 --> 00:59:51.570 Very last this that you could be, could you could search for. 467 00:59:51.570 --> 01:00:05.519 So, I don't want to say electronically fundamental expectations in the electric material. I just said you could use an external electric to control the. 468 01:00:05.519 --> 01:00:09.750 If the structure, the topological texture, the. 469 01:00:09.750 --> 01:00:12.960 Partners that the electric typo conform. 470 01:00:12.960 --> 01:00:24.510 This is nice. This is very interested. So conjugate fuel, electric arrangement no form of other polarization fair, magnetic contradictory. 471 01:00:24.510 --> 01:00:29.579 External magnetic field arrangement of main PlayStation very elastic. 472 01:00:29.579 --> 01:00:36.235 Contract transfer arrangements are far strain fields, so stress controls the strength. 473 01:00:36.414 --> 01:00:49.885 So, you can look for topological defects, like stress, and all of these things, for example, if you can have fair elastic material, you can have systems in which you're going to mechanically write domains and your right domains. 474 01:00:50.125 --> 01:00:51.594 And today, 475 01:00:51.594 --> 01:00:55.344 I've got a nice new way of starting today, 476 01:00:55.344 --> 01:01:00.385 very interesting systems that we can look for 1 of the challenges, 477 01:01:00.385 --> 01:01:05.065 the chemistry of copying multiple order parameters, 478 01:01:05.425 --> 01:01:05.755 market, 479 01:01:06.054 --> 01:01:10.074 materials and material that has at least 2 of these other parameters. 480 01:01:10.074 --> 01:01:11.335 So that at least, 481 01:01:11.394 --> 01:01:13.704 you can have much more challenges, 482 01:01:14.574 --> 01:01:18.054 electrical different challenge with the physics, 483 01:01:19.164 --> 01:01:20.335 fair magnetic material, 484 01:01:20.844 --> 01:01:21.474 chemistry, 485 01:01:21.594 --> 01:01:26.545 maturity with magnetic you need a required field, 486 01:01:26.545 --> 01:01:35.454 and oftentimes you deal with those have to be few and why prefer half empty so, 487 01:01:36.085 --> 01:01:37.974 these 2 running munites. 488 01:01:37.974 --> 01:01:39.204 So easily for you to. 489 01:01:39.599 --> 01:01:53.815 Have a single phase material that needs to be another form of excitation, controlling the material that you have to think of to look for this. This carpal phenomena. 490 01:01:56.184 --> 01:02:10.105 Please, if you have any questions, you can just stop me and ask me so 1 alternative ways to combine where chemistry doesn't seem to allow us and symmetry. We should look to our apology. 491 01:02:11.454 --> 01:02:26.094 In dynamics, so I'm going to give you a list of systems and the audit parameters and the conjugate fields. So if our electric material you can control the polarization, the orientations of the type of. 492 01:02:26.215 --> 01:02:38.695 So, you can have a positive or negative iron, you can have an arrow pointing from negative to positive. That will be a fair electric domain. You can have a whole bunch of domains, you can use an electric fields contractors domain. 493 01:02:38.695 --> 01:02:42.175 That is what we have in the federal electric access memory, 494 01:02:42.175 --> 01:02:42.715 for example, 495 01:02:43.795 --> 01:02:44.215 in unfair, 496 01:02:44.215 --> 01:02:45.775 magnetic material at the same thing, 497 01:02:45.804 --> 01:02:46.644 an edge field, 498 01:02:47.875 --> 01:02:48.175 fair, 499 01:02:48.175 --> 01:02:49.224 elastic stressed, 500 01:02:49.224 --> 01:02:57.864 and strained Super conductors after that we have peristalsis and functional Cooper pays for example, 501 01:02:59.394 --> 01:03:03.175 and then use that to control clusters of offices, 502 01:03:03.175 --> 01:03:05.545 depending on the type of flexor, 503 01:03:05.545 --> 01:03:05.994 electric, 504 01:03:05.994 --> 01:03:06.594 string grid, 505 01:03:09.144 --> 01:03:10.914 and then meter electric, 506 01:03:11.454 --> 01:03:14.364 you have copies of at least 2 other parameters. 507 01:03:14.364 --> 01:03:25.074 You can have much more. This is all all of this system. So you can there's 1 system if it's if it's for any discourage, you want. 508 01:03:25.739 --> 01:03:37.224 Uh, we want them to be he services between the conjugate few and the other guys are very interested. We want to be able to remember what you, I wouldn't be able to to start off at 0T. 509 01:03:37.224 --> 01:03:47.844 You increase your field and you switch off a few in the system the increase it has any services every under that establishes. Normally 6 signify the energy storage. 510 01:03:49.619 --> 01:03:53.610 Or the capacity, or the potential of that system. So you could be. 511 01:03:53.610 --> 01:04:08.309 Any of these other parameters, and she would be corresponding contradict, but please 1. interesting. 1, you want to buy an edge field in magnetic field, but you control the polarization and not an end. So. 512 01:04:08.844 --> 01:04:20.965 Interesting thing about other parameters in concrete fields is that the energetic of the system can cause using the land down theory of face transition. So excited types of face transitions. Of course. 513 01:04:20.965 --> 01:04:25.315 So, at what temperature does it give it to itself? 514 01:04:25.679 --> 01:04:32.489 Uh, for example, this is if this is the. 515 01:04:33.144 --> 01:04:47.844 External and function of temperature or magnetic field normally, most magnets, they get stronger as for the electrical system. Also you could have done it better. So there's this nice facial ambition. 516 01:04:47.844 --> 01:05:00.474 That is very, very interesting. The relationship between, and the system is that if you look at the theme of a fair magnetic more to the increasing issue, you are flipping domain. 517 01:05:00.474 --> 01:05:14.335 So, over here, for example, all of the domains pointing down. So you have once you have to speak, or when you flip everything over here, you flip everything. 518 01:05:16.349 --> 01:05:30.925 In some way, you have intermediate state once you're reading your flipping to you changing the States. So that is the summary behind the type of systems. 519 01:05:31.344 --> 01:05:33.775 The reason why? And I said this. 520 01:05:34.739 --> 01:05:39.989 The fundamental issue because of the chemistry to look for systems that. 521 01:05:39.989 --> 01:05:47.280 So, I'm going to go the parameter so we want to allow them to symmetry. 522 01:05:47.280 --> 01:05:51.030 And want to go beyond C, make sure that when you move to apology. 523 01:05:51.030 --> 01:06:00.929 To see, race treatment for different functions for other parameters could be used outside possibly. 524 01:06:01.255 --> 01:06:15.954 And I've heard and discuss what apology is symmetry you definitely started by symmetry. The simplest way of seeing see, major symmetry easily understand is. 525 01:06:17.309 --> 01:06:22.019 Is is the thing that you do to a system. 526 01:06:22.019 --> 01:06:27.150 And you don't change that system so it's, it's an operation. 527 01:06:27.150 --> 01:06:31.289 That you perform on a system and then change. 528 01:06:31.289 --> 01:06:34.739 The energy of that system, so the. 529 01:06:34.739 --> 01:06:38.940 Take a crystal loudest if the largest is perfect. 530 01:06:38.940 --> 01:06:45.025 Or an ideal this time demo say perfect if it's ideal, if I may or 3 direction. 531 01:06:45.505 --> 01:06:50.215 So if you take a unit taking engineering, 532 01:06:50.215 --> 01:06:50.875 1600 condense, 533 01:06:52.644 --> 01:06:54.054 metaphysics costs 50, 534 01:06:54.054 --> 01:06:54.894 you did sell, 535 01:06:54.894 --> 01:07:00.925 you translate the itself to the left to the right up and down left and right. 536 01:07:02.184 --> 01:07:08.755 In the entirety of that mainframe Cristo, it stays the same. You haven't changed the energy of that system. 537 01:07:09.025 --> 01:07:20.364 So this is a translation of symmetry transitional symmetric relates to the property that it relates to is system. 538 01:07:20.364 --> 01:07:33.505 If a system is homogeneous, transitional symmetry's observe, if it's homogeneous your purpose trust issues, another type of symmetry, it could be a rotation estimator. 539 01:07:34.170 --> 01:07:36.474 If you take a given time, 540 01:07:36.625 --> 01:07:39.355 you need so in a perfect crystal ideal, 541 01:07:39.894 --> 01:07:54.804 and you put on a bang for the turnaround turnaround and you still look around if you're sitting inside that Christa rotational symmetry's related to the offer medium 542 01:07:56.244 --> 01:08:04.465 truck maintenance product is going to change the index faction can change the magnetic susceptibility can change things there. 543 01:08:04.554 --> 01:08:14.454 2nd server. That is the response function that external activation can change. If a patient on symmetry's. 544 01:08:15.655 --> 01:08:26.244 So those are some ideas of symmetry or somehow revise our signature, which is the original magnetism. 545 01:08:27.149 --> 01:08:32.100 So those plus topology, which we already discussed, if you combine those 2 together. 546 01:08:32.100 --> 01:08:41.609 We think it's a recipe to to control to look at a. 547 01:08:41.609 --> 01:08:55.710 Major expectations from a different light, and looking at systems that you can use conjugate fields you can use. We can take a system that is by. 548 01:08:55.710 --> 01:09:02.550 Chemistry, it's not supposed to show magnetism. You bring anthropology and. 549 01:09:03.414 --> 01:09:14.364 And she mentioned, for example, you could you could show this case dynamics. These are some specific creatures. That are objects topological objects. 550 01:09:14.364 --> 01:09:27.444 So, this is for example, ESI represents a topological charges object. 1 is also 1 chapter minus. 1 is fractional. This is 1. 551 01:09:28.314 --> 01:09:41.635 these are how magnetic domains or or typo so this is so this is the type of service of individual typos of a single magnet. 552 01:09:42.414 --> 01:09:46.465 There's the direct direction of the field. 553 01:09:47.100 --> 01:10:00.024 Let's say from south to not see the time or 2 to not. So this could be 1 time for this project for you could have just 2 typo separated by domain. 554 01:10:00.324 --> 01:10:04.465 So these are objects that have given a chance. You can have. 555 01:10:05.819 --> 01:10:15.659 Lumps of of irons of an iron. If you take them Titan, bam has up to the occupation state 2 plus. 556 01:10:15.659 --> 01:10:17.005 Oxygen has 2 minus, 557 01:10:17.274 --> 01:10:21.715 it has to be 4 plus but the moment, 558 01:10:21.715 --> 01:10:26.185 the titanium ion and the oxygen and the titanium and if you, 559 01:10:26.215 --> 01:10:33.685 you can estimate the moment the moment it's just the 1st time to multiply by that bond. 560 01:10:33.895 --> 01:10:41.064 It gives you some stuff a time for a moment so you can have this could be the diaper moment of the titanium iron. 561 01:10:41.064 --> 01:10:52.164 So you can have a field that's created by some symmetrical distortion of a topological object. 562 01:10:52.409 --> 01:10:57.989 And these objects, they have mirror images of themselves, they could be. 563 01:10:57.989 --> 01:11:09.390 Uh, there could be a, it could be the object could be its own invoice. It could be its own. Now, it could be a, you can have a photo so you can have. 564 01:11:09.390 --> 01:11:22.770 Exotic properties that you can now push them and use them as top logical objects. So instead of the material sciences and the physicists to understand the structure, you do your. 565 01:11:23.185 --> 01:11:34.885 Your standard powder X, Ray function to use an X Ray different defacto, make an issue and you perform some sort of electron microscopy. 566 01:11:35.425 --> 01:11:38.904 So this is a microscope, the different education. 567 01:11:39.564 --> 01:11:50.935 You see, here, he said nano particles of bear over here. You have an intensity against 200. so, what this is just telling us is that this is this is the 1 1 reflection. 568 01:11:50.935 --> 01:12:05.305 It tells us that each of the field of view, the X, we'd be receiving the crystal, the statistics of each of all of the of the particle departments, have something called facet protocol. 569 01:12:06.505 --> 01:12:21.265 That is, let's say, it's kind of a shape. This is a facet. This is a fast facet. That's a classic process described using crystal graphic documentation. This could be this could be 1000100011. 570 01:12:21.295 --> 01:12:31.795 so if I said you use the intersex that describes the positions of the outcome to this more of these particles. 571 01:12:39.180 --> 01:12:52.109 Have 1, 0T for sites, and they also have 1 more minute. So the is coming from Scott and from each of those within a single particle, you can have a whole bunch of different types of defects. Can have. 572 01:12:52.494 --> 01:13:04.494 The Christianity could be a problem. You could not have a continuous single. It could be a more force. It could be. It could be a more force because you have texture. 573 01:13:04.524 --> 01:13:13.585 We have different planes that form texture. You can have different thicknesses of the concept. You can have different distributions of the structure. 574 01:13:13.890 --> 01:13:17.819 You can have these locations, so. 575 01:13:17.819 --> 01:13:27.720 All these internal quantities, structural would affect the electronic part of the functionality of what you use in your. 576 01:13:27.720 --> 01:13:34.109 In your device so we, I moved back to web began. We won some extra vision. 577 01:13:34.109 --> 01:13:40.944 The 1 way in which we can see the small capture the fast water fast for the host of application at the website. 578 01:13:40.944 --> 01:13:51.444 And I would say a little bit about a lot about how they're impacting it could be image structure defect and also look at topological lungs. 579 01:13:53.154 --> 01:14:06.625 Elementary excitations that relates to the fair electric dive call. Sure. That we can have forties in the fair fair electric Krista, electric field distribution at farms authorities. 580 01:14:06.625 --> 01:14:18.295 And that could be considered acquired article, depending on the mass of the article article could either be post title. 581 01:14:19.020 --> 01:14:24.510 Who who knows what the expectations you can have? 582 01:14:24.510 --> 01:14:31.199 And we cannot use traditional X, Ray, and purchase to started this that we'd need. 583 01:14:31.199 --> 01:14:40.739 We need folks that could see various objects and capture verifies dynamics. So those are the 2. 584 01:14:40.739 --> 01:14:47.939 To see with your eyes, all eyes can resolve, or. 585 01:14:47.939 --> 01:14:51.989 Things that are of the visible wavelength. 586 01:14:51.989 --> 01:14:57.029 To some extent. So the condition for defense is London was be Mr. 587 01:14:57.029 --> 01:15:01.770 To a, if if you have a snake and. 588 01:15:01.770 --> 01:15:12.029 The, the width of the sleep is a, to a, you can only get, uh, if you come in with a wavelength of light that is less than. 589 01:15:12.029 --> 01:15:16.680 To a beta we have this obviously you can get the fraction. 590 01:15:16.680 --> 01:15:20.189 If you have 2 objects. 591 01:15:20.694 --> 01:15:34.914 2 articles, once for the 2nd article, and the sufficient between the object is a distance, a, any coming with a plain wave. You putting indicator in the field you can resolve interference. 592 01:15:34.914 --> 01:15:42.744 So the way you can kind of where the 2 objects can create an interference is the patient not the smartest. 593 01:15:43.109 --> 01:15:49.800 Are the resolution, or this approach is technique it's basically tells you for giving away. 594 01:15:50.125 --> 01:16:04.255 What is the closest distance between this object? I can resolve those objects. I'm very, very close for a given wavelength. The interference will be blowed out. So, this is almost like the that was the experiment. 595 01:16:04.914 --> 01:16:06.625 So, microscopes are very. 596 01:16:06.989 --> 01:16:10.170 Good to see micro objects. Yeah. And, um. 597 01:16:12.324 --> 01:16:16.645 In the hospitals to look at biological objects microcytes things, 598 01:16:16.854 --> 01:16:20.034 but to see normal size objects to see atomic structures, 599 01:16:20.064 --> 01:16:24.864 which are of dimensions of size of an item tend to the minus thing, 600 01:16:25.135 --> 01:16:27.864 you need shorter way of things you need X rays. 601 01:16:27.864 --> 01:16:29.904 So, we're going to use X rays. 602 01:16:30.569 --> 01:16:44.725 And then, on the other hand, we don't want to use a lens. It's very difficult to design X, Ray lenses. And even if you keep saying lenses the resolution that you get, if you start the image, it was Michelle is ultimately. 603 01:16:45.600 --> 01:17:00.300 Decided by the focal end of your lanes and to change the focal length of your lanes you had to play with the distance of the events to the details of the events of the object all those things. So, would it be nice if you can just take away the lines. 604 01:17:00.300 --> 01:17:07.829 You get a distraction you get, you'd have like, coming in some object. You only see the sky that. 605 01:17:08.154 --> 01:17:17.515 Then you use that kind of pattern and then you have a lens, you use some, you come up with some, you develop some sort of a numerical nature, right? 606 01:17:17.515 --> 01:17:24.925 A series of computer algorithms that can solve for the invest capital can thread from Scott to object. 607 01:17:25.494 --> 01:17:37.164 That would be cool and these are the requirements are kind of like, on the type of vacation for Nano object. You need a penetrating trading power seeking to Cristo. 608 01:17:37.470 --> 01:17:48.595 See, our government has all 100 something that the wavelength is small compared to the size of something that you can be sensitive to every individual element. 609 01:17:48.595 --> 01:18:02.185 If it's variable tighten it, you want to see what my baby's doing, and something, which we might be affected by an external online field resources are available X, rays, X, Ray suffixes very long time. 610 01:18:02.185 --> 01:18:08.274 So, Ryan going to get giving him that price and naturally looking at images of the wives. 611 01:18:08.274 --> 01:18:23.034 Unfortunately, he didn't know that this radioactive this everyday activiation and he kept on taking images of the wives. Fortunately, I think she had cancer and stuff like that, but it was wonderful. 612 01:18:23.034 --> 01:18:28.225 He could image to begin ever. People came. There was standing in line is not to particular images. 613 01:18:28.255 --> 01:18:38.395 You've traveled, you've traveled everyone you use airports are the various ways of doing figuring out. 614 01:18:38.395 --> 01:18:43.555 If you're trying to smuggle smoker in someone, we're not supposed to sell medical imaging and. 615 01:18:44.760 --> 01:18:58.619 Security of use X rays a lot science of Houston to resolve the structure of the of of the son actually got number price. Well. 616 01:18:58.619 --> 01:19:05.220 Are coming on back slow and the cricket Watson also resolve the structure of the. 617 01:19:05.220 --> 01:19:19.380 2 resumes of extra imaging, there's the shadow graph version, which is imaging and there's the card machine, which is the factor where you get the factory in the shadow graph issue imaging, we need lenses. 618 01:19:19.704 --> 01:19:34.465 In the fashion resume, you only contract infer from the symmetry that you're seeing fraction. You see something about the mixture of the African respace. There is a receipt for kind of relationship between the space. 619 01:19:34.824 --> 01:19:41.515 If automative objects, symmetry of FCC or face into Cubics. 620 01:19:41.515 --> 01:19:51.654 If you put every single 1 is in the face and sent it to reciprocal space in the fashion space that she mentioned of the FCC becomes. 621 01:19:54.024 --> 01:20:03.625 So there are ways in which we know how some reciprocal relationship between arrangements in respace and arrangements constraints. 622 01:20:03.960 --> 01:20:10.020 And there's a difficulty of making extra extra lenses for the. 623 01:20:10.020 --> 01:20:23.039 They are refractive lenses challenge this because X rays have a negative index of attractions. Access can be absorbed. It can also be. 624 01:20:23.039 --> 01:20:26.579 Refracted while feasible light. 625 01:20:27.385 --> 01:20:36.925 The reception is just normal, it's just 1, this is deviated from 1 is a real value number, because we're not going to sunrise. 626 01:20:37.555 --> 01:20:45.774 So if you eliminate visible layer and increased response functional that Chris just paints away. 627 01:20:47.399 --> 01:20:53.069 By X can be on, so you can also do refracted. So there's some of the challenges. 628 01:20:53.069 --> 01:20:57.390 I'll say here are the types of sources. 629 01:20:57.390 --> 01:21:10.859 That could give us right? Coherent X rays, bending magnets where you have to brightness. This is how it's almost like a laser beam, right? 630 01:21:10.859 --> 01:21:11.875 In pending magnets, 631 01:21:12.414 --> 01:21:24.895 you can have electrons to X rays tangents to the brightness pushing out to the ring current and then you move all the way to reclass and on the Lakers extra free electron phases, 632 01:21:24.895 --> 01:21:28.284 where you can have a brightness that squares square inquiries. 633 01:21:28.314 --> 01:21:34.614 You're getting interesting fact, moving call, generation, light, sauces and. 634 01:21:35.579 --> 01:21:47.939 These are actually available at national Ameritrade on, by consulting universities by by government. There's some correlation between moose law and inquisitive entities. 635 01:21:47.939 --> 01:22:02.215 A different X, Ray sources I'm not going to sailor about the sauces. I'm just gonna ask you guys to to trust me and believe that you have secrets and facilities that can produce you coherent X, Ray. 636 01:22:03.354 --> 01:22:16.135 So gives you a meeting that you have your faces, send me a pizza pizza, and it trumps the charge the audit. 637 01:22:16.284 --> 01:22:19.284 You can use that to do activity and train. 638 01:22:19.619 --> 01:22:27.869 Other being 1 audit feature, we can capture the scientists order. Christa. 639 01:22:27.869 --> 01:22:34.590 Laser started most coherent 1 of the month. Go ahead, right sources. So we have X Ray phases. 640 01:22:34.590 --> 01:22:47.340 Shine your laser point on the rough surface you're going to see spec now what I'm trying to see if we can take we can inverted using America Gordon, and we can show you this structure. 641 01:22:47.340 --> 01:22:57.239 Of the of this, this was there is a high penetrating relation X Ray and this was crystal, it means that I can solve and show you the distribution of atoms. 642 01:22:57.239 --> 01:23:09.085 And that's exactly what we can do. We can have an object you can measure in the shadow graph issue, where you get face contrast issue have something wrong with your records. 643 01:23:09.085 --> 01:23:17.305 The dentist, the hospital put the thing is pretty close to the object is to observe from Congress allow. 644 01:23:17.789 --> 01:23:22.710 Propagation can didn't conquer even. 645 01:23:22.710 --> 01:23:37.074 Now, what we do is that we collect this the fashion package, we develop numerical lenses that we can invert it. And the way the infection process works is that this is a microscopic without optics. It's non conflicts. 646 01:23:37.314 --> 01:23:49.015 Optimization problem. We're solving. We have 2 spaces that we're working to into our spaces. We major space would measure it. Actually you have a crystal atoms. 647 01:23:49.710 --> 01:23:54.359 X Ray comes in is some of those items you made it, it's kind of. 648 01:23:54.359 --> 01:23:57.989 We take those current partner, in fact that we use. 649 01:23:57.989 --> 01:24:08.520 And these are the collections of things that I'll be very excited to be filling in more detail about these. 650 01:24:09.234 --> 01:24:22.194 The motivation for this actually, it came from the original paper by David. Sorry 1952 and when I was a PhD student, my thesis, this is the entire, just the 1 page paper. 651 01:24:22.194 --> 01:24:36.175 The end of my thesis was to extend the phase 2 file, go to 3 D to show them 3 dimensional. You can cover for me 3 dimensional object emission object in the paper was published. 652 01:24:36.175 --> 01:24:49.854 And he said he was very obvious. It took me beyond pH diseases to actually, and a lot of collaboration or folks to show that this is possible. So, sometimes when you're reading publications, you want to think between the line. 653 01:24:49.854 --> 01:25:03.534 So we're going to apply phase which regarding solve a problem to show that we can look a couple of logical objects that could make sure that it could be used for energy harvesting. 654 01:25:04.404 --> 01:25:16.555 And there's a lack of motivation. I'm just going to show you how the imaging technique, none of vision box. So you have a Nano structure. 655 01:25:16.645 --> 01:25:25.614 This is just a model to understand the Mackenzie Christopher hasn't giving them and check from bottom to top from left to right? 656 01:25:28.074 --> 01:25:38.784 In the fashion space, you make the cutting problem if you're looking at that transform of the object function. 657 01:25:38.784 --> 01:25:38.935 So, 658 01:25:38.935 --> 01:25:41.694 we transform actually violence, 659 01:25:41.694 --> 01:25:49.614 quite of an object from this is what the issue it comes from this when I look like this is just really detecting your detectors, 660 01:25:49.614 --> 01:25:52.135 detecting a complex way field, 661 01:25:52.135 --> 01:25:56.215 multiplied by complex contribute to their office. 662 01:25:57.085 --> 01:26:04.675 Now, if you your crystal, it's not just made up of atoms that are given symmetry. If you have atoms now, within your crystal. 663 01:26:04.949 --> 01:26:10.979 What happens is that the periodic atoms in space you can. 664 01:26:10.979 --> 01:26:14.789 There's something, there's nothing something there's nothing something there's nothing is. 665 01:26:14.789 --> 01:26:26.395 Reminds you of a data function, so specifically dimension or better functions X Y, Z. so your density of your crystal defined as the product of an in finite density. 666 01:26:26.395 --> 01:26:35.664 So, in finding meaning that these items were supposed to exist in final in all directions, but it's truncated by a ship function. So. 667 01:26:36.359 --> 01:26:51.359 It is the product of a data function that goes up to multiply by a shared function. And this is the electronic density, depending on what type of this is now, the fruit transform of a data function is that function. So. 668 01:26:51.359 --> 01:26:59.489 What happens now is that the presence of this item creates the functions of these objects so it simply. 669 01:26:59.489 --> 01:27:03.689 Takes it simply takes the ship function. 670 01:27:03.689 --> 01:27:14.395 And then it makes a data function, which is basically the signature of these come from the signature of the object, or when the atoms are defined, it flows with the signature there. Okay. 671 01:27:15.414 --> 01:27:29.814 Now, the complex measure, in fact, an experiment is the transform of the complex density of the object in this definition, for the Congress density. 672 01:27:29.814 --> 01:27:40.345 And then, when you measure the intensity, your measure is value actually values quite. So, this is the return from the printer or density. 673 01:27:40.555 --> 01:27:54.475 So, the phases are lost, and the phases have ever important. If you had some assume, you had some information to every single atom was deformed. This was defined is always, always, always isn't information a few days created. 674 01:27:54.475 --> 01:28:07.074 So you can have a displacement vector. You can define you feel that this is created if you rewrite your complex density again, you see that the displacement feel included in the face of the object. 675 01:28:07.614 --> 01:28:17.875 So, when you do absolutely value square to the phases of loss, and course information that is very, very vital to the field that is created and that is kind of what we needed. 676 01:28:17.875 --> 01:28:27.024 So we can invert move from this and go back to this. We can say things about ship of increase the size object. 677 01:28:27.270 --> 01:28:29.335 Can say things about density motivations, 678 01:28:29.335 --> 01:28:43.314 how they can take things apart mechanical strain and I just have a slide that shows the effort for the electrical engineers is very interesting to show the duplication of faith. 679 01:28:43.345 --> 01:28:45.954 If you take an object picture of an elephant. 680 01:28:46.590 --> 01:28:50.579 He said it's a binary. It's our, it's a real value. 681 01:28:50.579 --> 01:29:04.104 Then you take the full spectrum of 50 of this object. 50 of reinventing the objective share complex effect. You have the face, and you have an object. Then you take. This is the room just a picture. 682 01:29:04.104 --> 01:29:13.435 So binary gives you the face and the attitude. Now, if you do, if you swap, if you take the phases of the elephant. 683 01:29:13.920 --> 01:29:20.100 And you started with the face of the room and you put it together, you're going to have the elephant in the room. So the. 684 01:29:20.100 --> 01:29:25.524 The phased value of objects, carry a lot of information in the face. 685 01:29:25.524 --> 01:29:36.984 Value of getting ratio is extremely important, but just the essence of measuring once you try to take that signal measurement probability. You're measuring. 686 01:29:36.984 --> 01:29:47.574 Now the way function size, quit, multiplied by DV. So the phases are lost, so we are able to solve these phases wherever to use a whole bunch of. 687 01:29:48.239 --> 01:29:59.395 A couple of, uh, activation procedures and then we can, we can either rate of return receipt requested and come up to a global minimum solution. 688 01:30:00.534 --> 01:30:10.524 If 1 of the criteria that we use just mentioned this is that in terms of signal processing to say, this probably makes sense to you if you have. 689 01:30:10.890 --> 01:30:14.819 An object that has a given bandwidth. 690 01:30:14.819 --> 01:30:15.475 You haven't so, 691 01:30:15.475 --> 01:30:16.314 you in my case, 692 01:30:16.314 --> 01:30:16.914 my band, 693 01:30:17.574 --> 01:30:21.654 it's densities crystal densities and then, 694 01:30:21.864 --> 01:30:26.274 if you measure signal of that object in this case and measuring a distraction, 695 01:30:27.175 --> 01:30:33.534 and if that distraction part until object that initially had a number of identities, 696 01:30:33.835 --> 01:30:35.064 then you influence space. 697 01:30:35.064 --> 01:30:49.074 You have a number of amplitude, plus a number of phases once you've already launched those phases. So you have lost half of the information that distraction pattern measure is sampled to at least twice. The Micros frequency. 698 01:30:49.914 --> 01:31:04.795 Then, without loss of capability, you can invite, you could solve the problem. So the conditions for us to be able to reconstruct an object is that our defense department has to be oversampled to at least twice a frequency. My language frequency is given by the. 699 01:31:05.369 --> 01:31:08.909 If this is my atomic space, and this is. 700 01:31:09.354 --> 01:31:23.274 The 9th appointment online to pile, but that would give him a negative. These are the points that will respond to the protection of the States despite if I sample over somebody that measure more, I can resolve the face. 701 01:31:23.574 --> 01:31:24.564 So these are the criteria, 702 01:31:24.595 --> 01:31:37.824 we need coherent being penetrating people would need to be sample biased and once that condition is satisfied with the correct this old fashioned, 703 01:31:38.515 --> 01:31:41.755 use the projection. 704 01:31:41.784 --> 01:31:52.074 I'll go with it. There's ever reduction. There's hybrid input, output, some random automated relaxation, series of algorithms that are very familiar to signal processing. 705 01:31:52.074 --> 01:31:59.425 We use that to be sharp objects, Nano objects and show very interesting information. 706 01:32:00.595 --> 01:32:13.344 We've used, I've embarrass tightening the ensemble party, because I showed you before we reconstruct the shape of an object the object is about 140 nanometers in this direction. 707 01:32:13.734 --> 01:32:25.885 We can identify specific resolution of about 5 nanometer 5 by 5. well, even better concise to the article over here, we're projecting the displacement field of. 708 01:32:28.974 --> 01:32:39.173 Of the atoms on the ship this case in Armstrong. So mine's open to react from the bus open to do means that the extra that you need. 709 01:32:39.173 --> 01:32:52.253 So, over here, the atoms are compressive together and Ray stands out and then 1, we can also slice this a little bit of physics behind this, that shows how these basement fuel scares with the organization. 710 01:32:52.793 --> 01:33:00.594 We can slice through this. And we can find Regents in which you have this is the orientation to defer to typo Tom's there. 711 01:33:00.594 --> 01:33:11.064 So, this is the cost and products and when we apply and extend my electric field, the vortex call is moving and this is medium article going to face transition. 712 01:33:11.333 --> 01:33:20.783 So, what we're doing right now is that we can use these, these, these elementary excitations we can use these units. 713 01:33:21.149 --> 01:33:34.734 For a cubic for quantum computing, we can use them as there's a little bit of how this experiment works. How we collect the distraction. This is a snapshot of how the phasing works. 714 01:33:34.913 --> 01:33:47.873 We measure we measure a distraction packet size. We'll make sure that the sampling is better than that. I could frequency major. Intense is phrases are lost. 715 01:33:48.113 --> 01:34:00.293 So we started we started with a fast solution. We take the measure intensity's. We take the absolutely wearesquared and that becomes measure against us becomes the generator. 716 01:34:00.444 --> 01:34:13.224 I random phase, so we've had over the random no budget random phases. Take the exponential of those phases. Combined amplitude English transform that into, into their space. 717 01:34:13.524 --> 01:34:26.274 Introduce is a region, a support engine that we looked at the object is supposed to exist. These folks in the region comes from the accommodation section. 718 01:34:27.054 --> 01:34:29.033 If you measure the order correlations you can estimate. 719 01:34:29.213 --> 01:34:32.453 Correlation assumption is cute, 720 01:34:32.453 --> 01:34:34.974 but they just extend not transparent, 721 01:34:34.974 --> 01:34:36.894 but in your day, 722 01:34:36.894 --> 01:34:37.944 a couple of constraints, 723 01:34:37.944 --> 01:34:38.783 if I had enough time, 724 01:34:38.783 --> 01:34:45.804 I would see more about these things now and then once this is a criteria for convergence, 725 01:34:45.804 --> 01:34:55.613 when you can reconstruct the 3 dimensional object Patty card as low as 5 or even better is coming electronically. 726 01:34:55.913 --> 01:35:07.344 We don't have volume information. It's kind of before are particular. We can slice. So usually the approach we can image nano particles. That shows defects has defects. 727 01:35:08.934 --> 01:35:21.054 We could study elastic all environment, convening useless stress field to control the strain and show very interesting. This is unbearable. 728 01:35:21.149 --> 01:35:23.458 Particular that was a. 729 01:35:23.458 --> 01:35:36.774 These are various types of domains elastic don't. It's not fair electric. And the interesting thing was that we have an aggregate of charges similarities in the field, using an external trace. 730 01:35:36.953 --> 01:35:39.413 You could drive the single charges. 731 01:35:39.413 --> 01:35:42.894 And what would happen is that spring model charges, 732 01:35:43.073 --> 01:35:44.033 displays items, 733 01:35:44.033 --> 01:35:48.863 and the increased number infringing Maxwell, 734 01:35:49.253 --> 01:35:50.154 moving charge, 735 01:35:50.363 --> 01:35:59.394 creating magnetic fields by some sort of dynamic or using strays topological alarms in this case, 736 01:35:59.394 --> 01:36:00.474 in February, 737 01:36:00.474 --> 01:36:00.923 agnostic, 738 01:36:00.953 --> 01:36:01.524 kinks, 739 01:36:02.394 --> 01:36:07.524 displays ions and we can actually estimate the amount of magnetic field that could be created. 740 01:36:07.524 --> 01:36:22.404 So this is single use apparent crystal where he was an electric field to rank electric realization and could use a. you can lead out using a readout needs amendment. So you can use our life. 741 01:36:22.434 --> 01:36:36.684 That carries polarization to read out. I can say more about that. The topology come lump that we had in the Pharoah electric motor parameter. It's a vortex vortex call that moves. 742 01:36:37.823 --> 01:36:47.304 We have in your department and we defined that moment. The moment is the of the quarter fear. 743 01:36:47.304 --> 01:36:59.363 It's these are, it's almost like a future cub polarization field service turn a moment. This is the order parameter. 744 01:37:00.234 --> 01:37:02.514 Now as a function of the electric field. 745 01:37:03.083 --> 01:37:13.764 This is, the, is simply just a typo, so, just enrichment of each of these calls that sudden, electric, fewest trend. 746 01:37:14.274 --> 01:37:22.493 If you apply a few strength between 0T to 100 for example, you can, you can have regions, which is larger than the separation. 747 01:37:22.493 --> 01:37:37.014 It means that within this region and the electric few can move default X call without deforming object chain you can arrange the topology can move the call from the space on the Krista crystal 748 01:37:37.913 --> 01:37:39.173 without the form. 749 01:37:39.173 --> 01:37:52.734 You need for that. So, if you go beyond that field, you're going to new click is going to get away from electric fields, voltage, divided by the size of the object. 750 01:37:52.734 --> 01:37:55.944 So you can use this nitrogen to create. 751 01:37:57.418 --> 01:38:11.844 A 1 dimensional abroad. So this is just a slice somewhere in the particle but the structure of the textbook is really, it's a 1 dimensional. This particle is entirely insulating. 752 01:38:12.293 --> 01:38:27.264 You have a 1 dimensional abroad, which could become a channel, a couple of things that we do to, to make this channel. This channel could be semiconductors, which are problematic properties and also is dynamic. So that's a very interesting unit. That could be. 753 01:38:28.073 --> 01:38:41.213 You could have also have this polarization is pointing these are ways you could have the state, which is finding better ways to states that you can Super impose. Then you could entango them. 754 01:38:41.213 --> 01:38:46.073 So think about 1 particle you could have vortex. You can have. 755 01:38:46.918 --> 01:38:58.198 A vortex coherent yet, but those 2 States could become and waste each generation time. Good States. And that's kind of how we would build this type of units. 756 01:38:58.198 --> 01:39:04.738 I'm going to skip over this, uh, this slide, because there's a lot of things I wanted to show here. Um. 757 01:39:04.738 --> 01:39:08.458 The most important message that we have a. 758 01:39:09.323 --> 01:39:22.764 A vortex 1 dimensional rod, a special of the electric field, you can locate the structure is protected. It has a given topology. It could be useful information storage. 759 01:39:23.154 --> 01:39:33.354 And the way to do that is that we can use other things. Those words could be used for upgrading. So the previous has been upgrading this location could be the location of 1 for text. 760 01:39:35.064 --> 01:39:40.734 So you can just be if you remove the previous slide people panic on your slides and top and bottom. 761 01:39:42.833 --> 01:39:44.663 The way to show this was that we actually did, 762 01:39:45.264 --> 01:39:47.184 we wanted to build an element, 763 01:39:47.184 --> 01:39:55.944 you need something that is order so embedded impacting wires it's letting matrix matrix and then, 764 01:39:56.274 --> 01:39:58.043 depending on the aspect ratio of the wire, 765 01:39:58.043 --> 01:39:58.913 we can form. 766 01:39:59.309 --> 01:40:04.163 2 things, you can have a vortex vortex, anti, anti bomb. 767 01:40:04.224 --> 01:40:14.394 So the aspect we should put control you can have service and in which you are slicing over here because time involved, you can contribute and you can have a award tonight. 768 01:40:14.394 --> 01:40:21.984 You can have, you can have a time involved can have a given topological feature. You can see how those. 769 01:40:23.453 --> 01:40:31.314 How how big they are they upgraded so we can do radio patients. We're still working on these. 770 01:40:31.404 --> 01:40:38.724 Most of this could be you have to go at low temperature so you avoid phone number. 771 01:40:40.194 --> 01:40:45.054 There's a whole bunch of interesting things that could be could be done. 772 01:40:45.054 --> 01:40:57.713 We, we're building a functional elements in which could perform given specific types of upgrading in Tango system or we're trying to see what type of material they can show. 773 01:40:59.668 --> 01:41:12.838 And the youngest type of exchange behavior, besides what you expect from failures are the difference between but you have family on both ends and you have and the matrix that agents. 774 01:41:12.838 --> 01:41:26.724 If you have a 2 family and 2 electrons to change the process of either changing the electrons function accumulated again, it's an activated phase underwear function gets indicated will get a positive things. 775 01:41:26.724 --> 01:41:39.533 And then we'll be able to try something to you by looking at the timeline of how we exchange identical, electrical objects. We can come up with aggregate contract. 776 01:41:40.319 --> 01:41:46.708 That could be used as specific types of either for computation or storage. 777 01:41:46.708 --> 01:42:00.083 On what we're building, and there's just a lot of things that I could talk to you about. We can use, like, to read and to write into excite, but I'm going to speak 90 slides. 778 01:42:01.194 --> 01:42:14.963 I'm going to stop over here and I'll say the message is just wanted to advise that there is an X Ray. Now, the reason that could be used to capture the audio smarter faster, we can study materials that could handle. 779 01:42:15.389 --> 01:42:28.408 Uh, features, it could be topological layers where you have 8 States, and those states you can control you have a video of the spin courage. 780 01:42:28.408 --> 01:42:36.472 It could be topological defects themselves. Any lumps of fuel lungs fuel could be elastic. 781 01:42:36.472 --> 01:42:46.673 Feel could be fair electric, depending on the device that you can do it specific scenarios that you want specific all the systems. 782 01:42:50.484 --> 01:43:03.413 Like this for a given type of form of computation, if you want to see what is the whole grading statistics that you have to think of to design this type of systems. 783 01:43:04.344 --> 01:43:06.804 And here I'm gonna find a. 784 01:43:09.173 --> 01:43:11.963 Professor roundup for inviting me to, 785 01:43:12.354 --> 01:43:17.694 to give this talk and if there are any questions to answer, 786 01:43:17.694 --> 01:43:19.163 I know it's been a lot of material, 787 01:43:19.163 --> 01:43:30.684 but just the whole message that we can starting salary state materials that can hago elementary expectations. 788 01:43:30.684 --> 01:43:31.613 That could be useless. 789 01:43:32.128 --> 01:43:39.418 Possible candidates for 2 weeks. All right. Thanks. 790 01:43:39.418 --> 01:43:42.984 Well, thank you very much, and very interesting lot of information. 791 01:43:43.194 --> 01:43:44.934 I think here I'm project, 792 01:43:44.934 --> 01:43:48.323 I look your group's page in my class blog, 793 01:43:48.323 --> 01:43:50.783 so they can click on that more information, 794 01:43:51.024 --> 01:43:52.163 but I gather so, 795 01:43:52.163 --> 01:43:58.944 we're just at the beginning of what can happen with quantum computing with these new materials that are being researched on but yeah, 796 01:43:59.033 --> 01:43:59.394 yeah, 797 01:43:59.394 --> 01:43:59.844 that's true. 798 01:44:01.283 --> 01:44:12.413 It's just we just had the beginning with the material. We're a little bit behind the competitive theory, which is kind of a good thing for us a little bit ahead of us compared to the materials. 799 01:44:12.413 --> 01:44:16.884 Because of the for quite for quite some time there being a lack of probes. 800 01:44:17.453 --> 01:44:31.493 That you can use to really non destructive this study in normal escaped materials. So the emergence of secret trends and extra free electronic datasets, actually, it's pushed by a lot where we can look at, we can break up Nano. 801 01:44:31.493 --> 01:44:44.543 Why is this really slice them and study? Mega insulating phase transitions are very interesting systems and actually see them nano scale resolution. Thank you. 802 01:44:45.144 --> 01:44:47.184 Anyone else have any questions in the class. 803 01:44:47.519 --> 01:44:52.198 Laura is open just on mute yourself if you have any questions. 804 01:44:52.198 --> 01:45:06.569 If not well, thank you again and people can write you directly and read your homepage read here. I'm looking for research students and okay. Especially if folks who are very confident. 805 01:45:06.569 --> 01:45:18.509 With programming a Python Matlab a C plus parcel in image processing and stuff like oh, these people know that. So, yeah, so I get a link. 806 01:45:18.509 --> 01:45:26.279 Okay. All right. Thanks. Yeah, thank you again. All right. Bye. Okay. 807 01:45:32.309 --> 01:45:44.038 Also, if it's okay to give the to upload the recording of this to the class media. Great, I'll send you the link also for your own purposes. So. 808 01:45:44.038 --> 01:45:47.248 Definitely. All right. Thanks. All right. Thank you. 809 01:45:47.248 --> 01:45:50.819 Okay bye. Bye. Goodbye. 810 01:45:50.819 --> 01:45:58.048 Okay, class see you Monday. 811 01:46:14.969 --> 01:46:20.519 Silence. 812 01:46:22.979 --> 01:46:30.479 Silence.