PCS Institute for Basic Science
PCS Institute for Basic Science
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Bo Yang: Quantum Geometry in Topological Bands: Chern Insulators from Landau Level Description and
Title: Quantum Geometry in Topological Bands: Chern Insulators
from Landau Level Description and Beyond
Abstract: Intricate relationship between quantum geometry and topological phases of matters manifest itself both in the Landau levels of quantum Hall systems, and narrow Chern bands in 2D crystals. Recent experimental breakthroughs in twisted multilayer structures and moire lattices shows promises of a large variety of 2D platforms for realising both integer and correlated topological quantum fluids. In this talk, we explore two fundamental questions from comparing these two systems: a). what constitutes as “good qualities” of the Chern band for realising strongly correlated topological phases; b). what are the new behaviours unique to the lattice Chern bands beyond Landau level physics. We discuss the ideal flatband formalism in moire systems and how Landau level physics help understand many dynamical properties in the Chern bands. These include the absence of Anderson localization of the Chern bands in the presence of the superlattice potential, and how electron- electron interaction can impact the dynamics of integer Chern insulators via non- uniform quantum geometric tensor. We also discuss their experimental ramifications for the robustness of topological phases in 2D quantum materials.
Переглядів: 346

Відео

Alexei Andreanov: Flatbands: construction and effects of perturbations
Переглядів 976 місяців тому
Title: Flatbands: construction and effects of perturbations Abstract: Flatbands are dispersionless single particle bands. The quenched kinetic energy (due to the absence of dispersion), makes them promising hosts for unconventional and exotic phases of matter in presence of perturbations, like disorder or interactions. I am going to discuss how flatbands can be constructed in various tight-bind...
Jeil Jung: Layer pseudospin magnetism and electric field induced anomalous Hall effects in rhombohed
Переглядів 916 місяців тому
Title: Layer pseudospin magnetism and electric field induced anomalous Hall effects in rhombohedral multilayer graphene Abstract: Recent experiments have revealed the possibility of achieving sizeable Coulomb interaction driven gapped phases in dual gated rhombohedral multilayer graphene devices where carrier densities and perpendicular electric fields can be simultaneously controlled. Of parti...
Jun Won Rhim: Quasi-localization and Wannier Obstruction in Partially Flat Bands
Переглядів 576 місяців тому
Title: Quasi-localization and Wannier Obstruction in Partially Flat Bands Abstract: The localized nature of a flat band is understood by the existence of a compact localized eigenstate. However, the localization properties of a partially flat band, ubiquitous in surface modes of topological semimetals, have been unknown. We show that the partially flat band is characterized by a non-normalizabl...
Justin Song: Non-reciprocal quantum matter: quantum geometry and Kramers degeneracy
Переглядів 2126 місяців тому
Title: Non-reciprocal quantum matter: quantum geometry and Kramers degeneracy Abstract: Non-reciprocity (differentiated forward and backward flows of electrons in quantum matter) are often effected by an applied magnetic field. I will describe a different, field-free, and “non-classical” paradigm that exploits the intricate winding of electronic wavefunctions in quantum materials (captured by t...
Mikito Koshino: Exploring Moiré 2D Materials and Topological Quasicrystals
Переглядів 1496 місяців тому
Title: Exploring Moiré 2D Materials and Topological Quasicrystals Abstract: When distinct 2D materials with varying periodicities are overlaid, a moiré interference pattern emerging from lattice mismatches leads to exceptional electronic properties. This phenomenon is prominently observed in twisted bilayer graphene (TBG), where an moiré pattern gives rise to intriguing flat bands and associate...
Moon Jip Park: Magic angle of moire magnetic materials
Переглядів 846 місяців тому
Moon Jip Park: Magic angle of moire magnetic materials
Pilkyung Moon: Quasicrystalline resonant states and nonlinear Landau fan diagram in van der Waals su
Переглядів 566 місяців тому
Pilkyung Moon: Quasicrystalline resonant states and nonlinear Landau fan diagram in van der Waals su
Rudo Roemer: Quantum engineering for compactly localized states in disordered Lieb lattices
Переглядів 506 місяців тому
Rudo Roemer: Quantum engineering for compactly localized states in disordered Lieb lattices
Tomoki Ozawa: Introduction to the Quantum Metric
Переглядів 3776 місяців тому
Tomoki Ozawa: Introduction to the Quantum Metric
Xi Dai: Electrical Breakdown of Excitonic Insulators
Переглядів 1256 місяців тому
Xi Dai: Electrical Breakdown of Excitonic Insulators
Youichi Yanase: Generation, modulation, and enhancement of superconductivity by quantum geometry
Переглядів 1546 місяців тому
Youichi Yanase: Generation, modulation, and enhancement of superconductivity by quantum geometry
Tien-Ming Chuang: Direct Visualization of Electronic Liquid Crystal Phases in Correlated Topological
Переглядів 322Рік тому
Tien-Ming Chuang: Direct Visualization of Electronic Liquid Crystal Phases in Correlated Topological
Young-June Kim: Structure and Magnetic Anisotropy of Alpha-Rucl3
Переглядів 629Рік тому
Young-June Kim: Structure and Magnetic Anisotropy of Alpha-Rucl3
Oleg Tchernyshyov: Mechanics of Ferromagnetic Solitons
Переглядів 306Рік тому
Oleg Tchernyshyov: Mechanics of Ferromagnetic Solitons
Mircea Trif: Cavity Magnonics with Domain Walls in Insulating Ferromagnetic Wires
Переглядів 145Рік тому
Mircea Trif: Cavity Magnonics with Domain Walls in Insulating Ferromagnetic Wires
Mathias Klaeui: Skyrmions in Spin-Orbitronics and Orbitronics- Novel Science and Applications in Mem
Переглядів 340Рік тому
Mathias Klaeui: Skyrmions in Spin-Orbitronics and Orbitronics- Novel Science and Applications in Mem
Kyusung Hwang: Topological Quantum Dimers Emerging from Kitaev Spin Liquid Bilayer: Anyon Condensati
Переглядів 298Рік тому
Kyusung Hwang: Topological Quantum Dimers Emerging from Kitaev Spin Liquid Bilayer: Anyon Condensati
Kyoung-Min Kim: Topological Spin Textures via Twist Engineering
Переглядів 183Рік тому
Kyoung-Min Kim: Topological Spin Textures via Twist Engineering
Ji Zou: Shuttling Domain Wall Qubit on the Magnetic Racetrack
Переглядів 136Рік тому
Ji Zou: Shuttling Domain Wall Qubit on the Magnetic Racetrack
Jaeyoon Choi: Universality Class of a Spinor Bose-Einstein Condensate far from Equilibrium
Переглядів 237Рік тому
Jaeyoon Choi: Universality Class of a Spinor Bose-Einstein Condensate far from Equilibrium
Hiromitsu Takeuchi: Isolated Fractional Skyrmions in a Magnetic Quantum Gas
Переглядів 241Рік тому
Hiromitsu Takeuchi: Isolated Fractional Skyrmions in a Magnetic Quantum Gas
Gibaik Sim: 2D Spectroscopy for 1D Spin Chains with Fractionalized Excitations
Переглядів 192Рік тому
Gibaik Sim: 2D Spectroscopy for 1D Spin Chains with Fractionalized Excitations
You Shin No: A Continuous-Wave On-Demand Si-Integrable Gain-Printed Nanolaser
Переглядів 88Рік тому
You Shin No: A Continuous-Wave On-Demand Si-Integrable Gain-Printed Nanolaser
Xingran Xu: Non-Hermitian Topological Exciton-Polariton Corner Modes
Переглядів 170Рік тому
Xingran Xu: Non-Hermitian Topological Exciton-Polariton Corner Modes
Suk Bum Chung: Symmetry and Topology of the Polariton Condensate in 2D Dirac Materials
Переглядів 165Рік тому
Suk Bum Chung: Symmetry and Topology of the Polariton Condensate in 2D Dirac Materials
Sergei Koniakhin: Theoretical and Experimental Studies of Vortex and Soliton Dynamics in Exciton-Po
Переглядів 99Рік тому
Sergei Koniakhin: Theoretical and Experimental Studies of Vortex and Soliton Dynamics in Exciton-Po
Myung Ki Kim: Exploring Shortwave Infrared Surface Plasmons in 2D MXene Structures
Переглядів 134Рік тому
Myung Ki Kim: Exploring Shortwave Infrared Surface Plasmons in 2D MXene Structures
Helgi Sigurdsson: Optically Spin-Stirred Cavity Polariton Condensates in a "Rotating Bucket" Experi
Переглядів 301Рік тому
Helgi Sigurdsson: Optically Spin-Stirred Cavity Polariton Condensates in a "Rotating Bucket" Experi
Fabrice Laussy: Rabi Oscillations in Space and Time
Переглядів 98Рік тому
Fabrice Laussy: Rabi Oscillations in Space and Time

КОМЕНТАРІ

  • @InquilineKea
    @InquilineKea 18 днів тому

    does global synchronization mean the phase lags trend to 0?

  • @InquilineKea
    @InquilineKea 18 днів тому

    So is \mu > 0.75 in the brain?

  • @Luck_x_Luck
    @Luck_x_Luck Місяць тому

    Full synchronysation as opposed to waves is in some sense a transposition from matter to time. Which one is the case depends on whether the process of transition has a higher dependence on material or processes taking a long time (of developing into the next stage in the cycle). Stability over time thus depends on whether there are enough attractors of comparably high strength such that a winner take all effect is always prevented and the cycle through elements remains a cycle. This is the question: what world do you believe you live in? which attractors need strengthening?

  • @Nonbasic-j1d
    @Nonbasic-j1d 2 місяці тому

    Never seen such a clear and existing presentation before! Thank you Dr. !

  • @annguyendang8388
    @annguyendang8388 2 місяці тому

    Dear Sir! How to extract energy from micromaser to run the electronic devices ?

  • @DrakeLarson-js9px
    @DrakeLarson-js9px 2 місяці тому

    Interesting video

  • @annguyendang8388
    @annguyendang8388 2 місяці тому

    Hi Sir, This is great lecture! Can you share the lecture file?

  • @brenjithazarika7083
    @brenjithazarika7083 3 місяці тому

    Great explaination

  • @avi6481
    @avi6481 5 місяців тому

    Ha

  • @Daryoushatami
    @Daryoushatami 5 місяців тому

    In the heart of Hilbert structure space time collapsing but a potentiality will remains of all possible states.

  • @vladkuchkin2577
    @vladkuchkin2577 7 місяців тому

    www.youtube.com/@Skyrmion-magnetic

  • @SankhaSubhraBakshiexists
    @SankhaSubhraBakshiexists 7 місяців тому

    23:10

  • @Vishybanda
    @Vishybanda 7 місяців тому

    circuit methods, simulations to characterize membrane in detail obtaining permittivity, charge regulation with time, ion-ion, particle-membrane interactions are published in membrane journals includes journal of membrane science, journal of polymer science part B: polymer physics, other journals name required is also must

  • @WorldRecordRapper
    @WorldRecordRapper 8 місяців тому

    Excellent talk, thanks!

  • @moirangthemsanahal6695
    @moirangthemsanahal6695 8 місяців тому

    28:39 but how did one get that plot? I tried the hamiltonian using finite difference methid in python but the plot is coming out terrible. Lmao.. It would be really helpful if any ideas can be spared. :)

  • @JuanAbeyta-zx2os
    @JuanAbeyta-zx2os 8 місяців тому

    In

  • @prem4302
    @prem4302 9 місяців тому

    starts at 2:06

  • @JAYMOAP
    @JAYMOAP 9 місяців тому

    Very nice well done

  • @stashgrabowski8912
    @stashgrabowski8912 10 місяців тому

    great video

  • @brendawilliams8062
    @brendawilliams8062 10 місяців тому

    Thankyou for the opportunity

  • @annguyendang8388
    @annguyendang8388 11 місяців тому

    Dear Sir, Is there any document supporting mathematics in quantum battery?

    • @travman2863
      @travman2863 8 місяців тому

      Do you mean like? The schrodinger equation: ua-cam.com/video/AR23uxZruhE/v-deo.htmlsi=dV_zC95126fHqqJP and The McGinty equation: ua-cam.com/video/qm2MIQqcGJI/v-deo.htmlsi=N2hlVfRZ30tQEdqe

  • @travman2863
    @travman2863 Рік тому

    🤔According to this video ua-cam.com/video/uUkXt3YmjoI/v-deo.htmlsi=HKa6mzsehHhexvFV You & everyone studying Quantum batteries are wasting your time and money on this do you agree?🤷‍♂️ 🌐✌ I personally do not believe so and I think the above video link should be taken down for misleading information.👍 Either that or your video is misleading information which I do not believe so.

  • @SpotterVideo
    @SpotterVideo Рік тому

    Conservation of Spatial Curvature (Both Matter and Energy described as "Quanta" of Spatial Curvature. A string is revealed to be a twisted cord when viewed up close.) Is there an alternative interpretation of "Asymptotic Freedom"? What if Quarks are actually made up of twisted tubes which become physically entangled with two other twisted tubes to produce a proton? Instead of the Strong Force being mediated by the constant exchange of gluons, it would be mediated by the physical entanglement of these twisted tubes. When only two twisted tubules are entangled, a meson is produced which is unstable and rapidly unwinds (decays) into something else. A proton would be analogous to three twisted rubber bands becoming entangled and the "Quarks" would be the places where the tubes are tangled together. The behavior would be the same as rubber balls (representing the Quarks) connected with twisted rubber bands being separated from each other or placed closer together producing the exact same phenomenon as "Asymptotic Freedom" in protons and neutrons. The force would become greater as the balls are separated, but the force would become less if the balls were placed closer together. Therefore, the gluon is a synthetic particle (zero mass, zero charge) invented to explain the Strong Force. An artificial Christmas tree can hold the ornaments in place, but it is not a real tree. String Theory was not a waste of time, because Geometry is the key to Math and Physics. However, can we describe Standard Model interactions using only one extra spatial dimension? What did some of the old clockmakers use to store the energy to power the clock? Was it a string or was it a spring? What if we describe subatomic particles as spatial curvature, instead of trying to describe General Relativity as being mediated by particles? Fixing the Standard Model with more particles is like trying to mend a torn fishing net with small rubber balls, instead of a piece of twisted twine. Quantum Entangled Twisted Tubules: “We are all agreed that your theory is crazy. The question which divides us is whether it is crazy enough to have a chance of being correct.” Neils Bohr (lecture on a theory of elementary particles given by Wolfgang Pauli in New York, c. 1957-8, in Scientific American vol. 199, no. 3, 1958) The following is meant to be a generalized framework for an extension of Kaluza-Klein Theory. Does it agree with some aspects of the “Twistor Theory” of Roger Penrose, and the work of Eric Weinstein on “Geometric Unity”, and the work of Dr. Lisa Randall on the possibility of one extra spatial dimension? During the early history of mankind, the twisting of fibers was used to produce thread, and this thread was used to produce fabrics. The twist of the thread is locked up within these fabrics. Is matter made up of twisted 3D-4D structures which store spatial curvature that we describe as “particles"? Are the twist cycles the "quanta" of Quantum Mechanics? When we draw a sine wave on a blackboard, we are representing spatial curvature. Does a photon transfer spatial curvature from one location to another? Wrap a piece of wire around a pencil and it can produce a 3D coil of wire, much like a spring. When viewed from the side it can look like a two-dimensional sine wave. You could coil the wire with either a right-hand twist, or with a left-hand twist. Could Planck's Constant be proportional to the twist cycles. A photon with a higher frequency has more energy. ( E=hf, More spatial curvature as the frequency increases = more Energy ). What if Quark/Gluons are actually made up of these twisted tubes which become entangled with other tubes to produce quarks where the tubes are entangled? (In the same way twisted electrical extension cords can become entangled.) Therefore, the gluons are a part of the quarks. Quarks cannot exist without gluons, and vice-versa. Mesons are made up of two entangled tubes (Quarks/Gluons), while protons and neutrons would be made up of three entangled tubes. (Quarks/Gluons) The "Color Charge" would be related to the XYZ coordinates (orientation) of entanglement. "Asymptotic Freedom", and "flux tubes" are logically based on this concept. The Dirac “belt trick” also reveals the concept of twist in the ½ spin of subatomic particles. If each twist cycle is proportional to h, we have identified the source of Quantum Mechanics as a consequence twist cycle geometry. Modern physicists say the Strong Force is mediated by a constant exchange of Gluons. The diagrams produced by some modern physicists actually represent the Strong Force like a spring connecting the two quarks. Asymptotic Freedom acts like real springs. Their drawing is actually more correct than their theory and matches perfectly to what I am saying in this model. You cannot separate the Gluons from the Quarks because they are a part of the same thing. The Quarks are the places where the Gluons are entangled with each other. Neutrinos would be made up of a twisted torus (like a twisted donut) within this model. The twist in the torus can either be Right-Hand or Left-Hand. Some twisted donuts can be larger than others, which can produce three different types of neutrinos. If a twisted tube winds up on one end and unwinds on the other end as it moves through space, this would help explain the “spin” of normal particles, and perhaps also the “Higgs Field”. However, if the end of the twisted tube joins to the other end of the twisted tube forming a twisted torus (neutrino), would this help explain “Parity Symmetry” violation in Beta Decay? Could the conversion of twist cycles to writhe cycles through the process of supercoiling help explain “neutrino oscillations”? Spatial curvature (mass) would be conserved, but the structure could change. ===================== Gravity is a result of a very small curvature imbalance within atoms. (This is why the force of gravity is so small.) Instead of attempting to explain matter as "particles", this concept attempts to explain matter more in the manner of our current understanding of the space-time curvature of gravity. If an electron has qualities of both a particle and a wave, it cannot be either one. It must be something else. Therefore, a "particle" is actually a structure which stores spatial curvature. Can an electron-positron pair (which are made up of opposite directions of twist) annihilate each other by unwinding into each other producing Gamma Ray photons? Does an electron travel through space like a threaded nut traveling down a threaded rod, with each twist cycle proportional to Planck’s Constant? Does it wind up on one end, while unwinding on the other end? Is this related to the Higgs field? Does this help explain the strange ½ spin of many subatomic particles? Does the 720 degree rotation of a 1/2 spin particle require at least one extra dimension? Alpha decay occurs when the two protons and two neutrons (which are bound together by entangled tubes), become un-entangled from the rest of the nucleons . Beta decay occurs when the tube of a down quark/gluon in a neutron becomes overtwisted and breaks producing a twisted torus (neutrino) and an up quark, and the ejected electron. The production of the torus may help explain the “Symmetry Violation” in Beta Decay, because one end of the broken tube section is connected to the other end of the tube produced, like a snake eating its tail. The phenomenon of Supercoiling involving twist and writhe cycles may reveal how overtwisted quarks can produce these new particles. The conversion of twists into writhes, and vice-versa, is an interesting process, which is also found in DNA molecules. Could the production of multiple writhe cycles help explain the three generations of quarks and neutrinos? If the twist cycles increase, the writhe cycles would also have a tendency to increase. Gamma photons are produced when a tube unwinds producing electromagnetic waves. ( Mass=1/Length ) The “Electric Charge” of electrons or positrons would be the result of one twist cycle being displayed at the 3D-4D surface interface of the particle. The physical entanglement of twisted tubes in quarks within protons and neutrons and mesons displays an overall external surface charge of an integer number. Because the neutrinos do not have open tube ends, (They are a twisted torus.) they have no overall electric charge. Within this model a black hole could represent a quantum of gravity, because it is one cycle of spatial gravitational curvature. Therefore, instead of a graviton being a subatomic particle it could be considered to be a black hole. The overall gravitational attraction would be caused by a very tiny curvature imbalance within atoms. In this model Alpha equals the compactification ratio within the twistor cone, which is approximately 1/137. 1= Hypertubule diameter at 4D interface 137= Cone’s larger end diameter at 3D interface where the photons are absorbed or emitted. The 4D twisted Hypertubule gets longer or shorter as twisting or untwisting occurs. (720 degrees per twist cycle.) How many neutrinos are left over from the Big Bang? They have a small mass, but they could be very large in number. Could this help explain Dark Matter? Why did Paul Dirac use the twist in a belt to help explain particle spin? Is Dirac’s belt trick related to this model? Is the “Quantum” unit based on twist cycles? I started out imagining a subatomic Einstein-Rosen Bridge whose internal surface is twisted with either a Right-Hand twist, or a Left-Hand twist producing a twisted 3D/4D membrane. This topological Soliton model grew out of that simple idea. I was also trying to imagine a way to stuff the curvature of a 3 D sine wave into subatomic particles. .

  • @shawnwilford784
    @shawnwilford784 Рік тому

    At around 3:30 there is a mistake, the |+> and |-> should be eigenstates of σy instead of σx, i.e. |+>=(-i|1>+|2>)/\sqrt{2}, |->=(|1>-i|2>)/\sqrt{2}, only then the results matches H=|1><2|-|2><1|=i|+><+|-i|-><-|

  • @Miguel_Noether
    @Miguel_Noether Рік тому

    Just after you thought you knew quantum mechanics....

  • @dhimanbhowmick9558
    @dhimanbhowmick9558 Рік тому

    Nice talk, thanks to prof.

  • @hanzeli9092
    @hanzeli9092 Рік тому

    It's so great!

  • @herauthon
    @herauthon Рік тому

    1987 : teacher shows me pictures of glaciers - and the shrinking of their size over time - and asks what the result of this temperature raise will be - well yes, more heat.. but i wondered...if it also could mean... more cold.. that did not result in a deeper debate.. jammer - i loved one.

  • @shubhamjat6926
    @shubhamjat6926 Рік тому

    Thank you so much

  • @fartywood3917
    @fartywood3917 Рік тому

    came here post LK-99 🤣🤣🤣

  • @EdT.-xt6yv
    @EdT.-xt6yv Рік тому

    19:20 rare earth material

  • @Carl-Ernst-Otto-Kunze
    @Carl-Ernst-Otto-Kunze Рік тому

    Bits traded

  • @Witcheridoo
    @Witcheridoo Рік тому

    Let the woman speak lmao

    • @craftlinks7866
      @craftlinks7866 11 місяців тому

      I suspect the audience is very unfamiliar with the topic/field at hand, hence a bunch of (basic science, ha!) questions...

  • @DanDooley-o9i
    @DanDooley-o9i Рік тому

    Steven, If the Infinite Hotel is a circular building the Night Manager will arrive back at the desk after the 1 minute room check. The circle is infinite, how sweet is That!?

  • @rasoulghadimi3546
    @rasoulghadimi3546 Рік тому

    thanks for sharing

  • @rasoulghadimi3546
    @rasoulghadimi3546 Рік тому

    Thanks for sharing this talk

  • @dax2439
    @dax2439 Рік тому

    A+!!! Want more views? -> *Promosm*!!!

  • @syedabubacker7595
    @syedabubacker7595 2 роки тому

    Thank you so much for this lecture! I am working on this topic and I found it very helpful

  • @alexssandredeoliveiraj2773
    @alexssandredeoliveiraj2773 2 роки тому

    Very nice talk!

  • @samyakkshinde6864
    @samyakkshinde6864 2 роки тому

    55:44 , Why did he say If epsilon =2 my Hamiltonian is Hermitian? it's clearly not . I think it's just for epsilon >0, PT Symmetry is unbroken. someone please clarify if I misunderstood something here.

    • @Miguel_Noether
      @Miguel_Noether Рік тому

      When epsilon is equal to two, you have H = p^2 - x^4, why is it not hermitian?

  • @frankpollmann3998
    @frankpollmann3998 2 роки тому

    meow great talk

  • @sandralopez675
    @sandralopez675 3 роки тому

    Here’s a tip, look for fast hair growth shampoo to double hair growth.

  • @makespace8483
    @makespace8483 3 роки тому

    For students of QM that have been told to "Shut up and calculate," this lecture will set you on a path to getting the hard questions answered.

  • @martinsoos
    @martinsoos 3 роки тому

    It would have been nice if there was a working model of this system, but more often than not, the math comes first.

  • @martinsoos
    @martinsoos 3 роки тому

    I only see side jumps happening when a photon goes through a lattice. When a photon goes through a random scattering of positive and negative charges the bending would be canceled out as randomly as it was maid, but it would impair sharpness of the image would it not. I am guessing.

    • @macyduke5409
      @macyduke5409 2 роки тому

      Yes..I agree....because I understand what you said...yes.......

    • @brendawilliams8062
      @brendawilliams8062 10 місяців тому

      I wonder about similar things like the 1.112 and 1.12. A cancelling with a remaining 6. But I just am amatuer with curiosity

    • @brendawilliams8062
      @brendawilliams8062 10 місяців тому

      @@macyduke5409maybe something like a 243 0 243 problem

  • @designerguy13-photonics
    @designerguy13-photonics 3 роки тому

    what a lecture