Proseminar: Theory of Quantum Matter
Laura Classen, Michael Knap, Johannes Knolle
First Meeting:
April 18, 10am
PH 1121, Minkowski-Raum
List of presentations:
Bachelor Seminar
- Bose-Einstein Condensation
THY: Theory of Bose-Einstein condensation in trapped gases, https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.71.463
EXP: Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor, https://www.science.org/doi/10.1126/science.269.5221.198
EXP: Bose-Einstein Condensation in a Gas of Sodium Atoms https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.75.3969 - Ising model in two dimensions
THY: W. Nolting, Statistische Physik, Chapter 4.4
EXP: Micromagnetometry of two-dimensional ferromagnets, Kim. et al. Nature electronics https://www.nature.com/articles/nature22391
EXP: Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit, Huang et al. Nature, https://www.nature.com/articles/nature22391 - Conventional Superconducitivty
THY: J. Bardeen, L. N. Cooper, and J. R. Schrieffer https://journals.aps.org/pr/abstract/10.1103/PhysRev.108.1175
THY: L.N. Cooper, Bound Electron Pairs in a Degenerate Fermi Gas, https://journals.aps.org/pr/abstract/10.1103/PhysRev.104.1189
EXP: Conventional superconductivity at 203 kelvin at high pressures in the sulfur hydride system, https://www.nature.com/articles/nature14964 - Graphene
THY: The electronic properties of graphene, chapter 2, journals.aps.org/rmp/abstract/10.1103/RevModPhys.81.109
EXP: Two-dimensional gas of massless Dirac fermions in graphene, https://www.nature.com/articles/nature04233 - Monopoles in spin ice
THY: Magnetic monopoles in spin ice, C. Castelnovo, R. Moessner, S. L. Sondhi, Nature 451, 42-45 (2008).
EXP: Spin Ice State in Frustrated Magnetic Pyrochlore Materials, Steven T. Bramwell and Michel J. P. Gingras, Science, 294, 1495-1501 (2001). - Harper–Hofstadter model
THY: Douglas R. Hofstadter Phys. Rev. B 14, 2239 (1976).
THY: M. Aidelsburger, PhD Thesis, Chapter 2, https://edoc.ub.uni-muenchen.de/18148/1/Aidelsburger_Monika.pdf
EXP: M. Aidelsburger, M. Atala, M. Lohse, J. T. Barreiro, B. Paredes, and I. Bloch Phys. Rev. Lett. 111, 18530 (2013). - Berezinskii–Kosterlitz–Thouless transition in two dimensions
EXP: The Berezinskii-Kosterlitz-Thouless Transition and Anomalous Metallic Phase in a Hybrid Josephson Junction Array, https://arxiv.org/abs/2210.00318
THY: Book: Statistical Physics of Particles: Mehran Kardar
THY: Nobel Prize sumary: https://www.nobelprize.org/uploads/2018/06/advanced-physicsprize2016.pdf - Anderson Localization
THY: Anderson, P. W. Absence of diffusion in certain random lattices. Physical Review 109, 1492–1505 (1958).
THY: B Kramer and A MacKinnon: Review https://iopscience.iop.org/article/10.1088/0034-4885/56/12/001
EXP: Billy, J. et al. Direct observation of anderson localization of matter waves in a controlled disorder. Nature 453, 891–894 (2008). - Mott-Insulator transition
THY: Fisher, M. P. A., Weichman, P. B., Grinstein, G. & Fisher, D. S. Boson localization and the superfluid-insulator transition. Phys. Rev. B 40, 546–570 (1989). https://journals.aps.org/prb/abstract/10.1103/PhysRevB.40.546
EXP: Greiner et al. Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms, https://www.nature.com/articles/415039a - Hanburry-Brown-Twiss interferometry
THY: E. Altman, et al. Probing many-body states of ultracold atoms via noise correlations, Phys. Rev. A 70, 013603 (2004)
EXP: T. Jeltes et al, Comparison of the Hanbury Brown–Twiss effect for bosons and fermions, Nature 445, 402 (2007) - Josephson Effect
THY: Josephson, Possible new effects in superconductive tunnelling, https://www.sciencedirect.com/science/article/abs/pii/0031916362913690?via%3Dihub
EXP: Introduction to Superconductivity, Michael Tinkham, Book. - Skyrmions
THY: Supplemental Material of "Skyrmion Lattice in a Chiral Magnet" www.science.org/doi/abs/10.1126/science.1166767
EXP: Skyrmion Lattice in a Chiral Magnet https://www.science.org/doi/abs/10.1126/science.1166767
Master Seminar
- Toric Code and fault-tolerant quantum computation
THY: Fault-tolerant quantum computation by anyons, A. Yu. Kitaev, Annals Phys. 303 (2003) 2-30 (2003), https://arxiv.org/abs/1601.03742 (Ch. 1, Ch 2.1, Ch 2.2).
THY: Review: Quantum Spin Liquids: Chapter 2 of https://arxiv.org/pdf/1601.03742.pdf
THY: Review: Topological phases and quantum computation, https://arxiv.org/abs/0904.2771
EXP: Realizing topologically ordered states on a quantum processor, Science 374, 1237-1241 (2021), https://arxiv.org/abs/2104.01180 - Topological band structures
THY: Haldane, F. D. M. Model for a quantum Hall Effect without Landau levels: condensed-matter realization of the ‘parity’ anomaly. Phys. Rev. Lett. 61, 2015 (1988)
EXP: Experimental realization of the topological Haldane model with ultracold fermions Gregor Jotzu, Michael Messer, Rémi Desbuquois, Martin Lebrat, Thomas Uehlinger, Daniel Greif & Tilman Esslinger Nature 515, 237 (2014). - Quantum Spin Hall Effect
THY: Quantum Spin Hall Effect in Graphene, Kane, Mele, https://arxiv.org/abs/cond-mat/0411737
THY: Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells, Bernevig, Hughes, Zhang, https://arxiv.org/abs/cond-mat/0611399
EXP: Quantum Spin Hall Insulator State in HgTe Quantum Wells, Koenig et al, https://arxiv.org/abs/0710.0582 - Integer Quantum Hall Effect
THY: Lecture Notes David Tong, Ch 2, www.damtp.cam.ac.uk/user/tong/qhe.html
EXP: New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance, https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.45.494 - Fractional Quantum Hall Effect
THY: Lecture Notes David Tong, Ch 3, https://www.damtp.cam.ac.uk/user/tong/qhe.html
EXP: Two-Dimensional Magnetotransport in the Extreme Quantum Limit, https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.48.1559 - Twisted Bilayer Graphene
THY: Moire bands in twisted double-layer graphene, Rafi Bistritzer and Allan H. MacDonald, https://doi.org/10.1073/pnas.1108174108
EXP: Correlated insulator behaviour at half-filling in magic-angle graphene superlattices, Cao et al. https://doi.org/10.1038/nature26154
EXP: Unconventional superconductivity in magic-angle graphene superlattices, Cao et al. https://www.nature.com/articles/nature26160
EXP: Superconductors, orbital magnets and correlated states in magic-angle bilayer graphene, https://www.nature.com/articles/s41586-019-1695-0 - Wigner Crystals
THY: E. Wigner: On the Interaction of Electrons in Metals, https://doi.org/10.1103%2FPhysRev.46.1002
EXP: Signatures of Wigner crystal of electrons in a monolayer semiconductor https://www.nature.com/articles/s41586-021-03590-4 - Anderson's Orthogonality Catastrophe
THY: P. W. Anderson, Infrared Catastrophe in Fermi Gases with Local Scattering Potentials, Phys. Rev. Lett. 18, 1049 (1967).
THY: Gogolin et al. Bosonization Strong Correlated Systems, Book, Chapter 26.
EXP: M. Cetina, et al, Ultrafast many-body interferometry of impurities coupled to a Fermi sea., Science 354, 96 (2016). - Eigenstate thermalization
THY: Thermalization and its mechanism for generic isolated quantum systems, Marcos Rigol, Vanja Dunjko, Maxim Olshanii Nature 452 854 (2009).
EXP: A quantum Newton's cradle, Toshiya Kinoshita, Trevor Wenger and David S. Weiss Nature 440, 900 (2006). - Many-body localization
THY: Abanin et al, Review journals.aps.org/rmp/abstract/10.1103/RevModPhys.91.021001
EXP: Michael Schreiber, et al. Observation of many-body localization of interacting fermions in a quasi-random optical lattice, Science 349, 842 (2015), arXiv:1501.05661. - Periodically driven many-body systems
THY: Photovoltaic Hall effect in graphene, T Oka, H Aoki Physical Review B 79, 081406 (2009).
EXP: Observation of Floquet-Bloch states on the surface of a topological insulator, YH Wang, H Steinberg, P Jarillo-Herrero, N Gedik Science 342, 453 (2013). - Time crystals
THY: Floquet Time Crystals, Dominic V. Else, Bela Bauer, and Chetan Nayak, Phys. Rev. Lett. 117, 090402 (2016).
THY: On the phase structure of driven quantum systems, Khemani et al. https://arxiv.org/abs/1508.03344
EXP: Observation of discrete time-crystalline order in a disordered dipolar many-body system, Soonwon Choi, et al. Nature 543, 221 (2017). - Dynamical Quantum Phase transitions
THY: Dynamical Quantum Phase Transitions in the Transverse Field Ising Model, Markus Heyl, Anatoli Polkovnikov, Stefan Kehrein Phys. Rev. Lett. 110, 135704 (2013), Dynamical quantum phase transitions: A brief survey, Markus Heyl, https://arxiv.org/abs/1811.02575
EXP: Direct observation of dynamical quantum phase transitions in an interacting many-body system, P. Jurcevic, H. Shen, P. Hauke, C. Maier, T. Brydges, C. Hempel, B. P. Lanyon, M. Heyl, R. Blatt, C. F. Roos, Phys. Rev. Lett. 119, 080501 (2017), arXiv:1612.06902.