Mathematical Aspects of Condensed Matter Physics

Jul 17, 2023, 8:30 AM → Jul 21, 2023, 5:00 PM Europe/Zurich

HIT E 51 (ETH Hönggerberg)

The goal of this meeting is to discuss mathematical and theoretical questions that arise in condensed matter physics, by bringing together experts from various mathematical disciplines (mathematical physics, PDEs, applied mathematics, computational science) and theoretical physics. The emphasis would be on presenting different perspectives on physical phenomena such as topological phases of matter, disorder and Anderson localization, twisted matter, and mechanical metamaterials.

Organizers

• Amir Sagiv, as6011@columbia.edu
• Gian Michele Graf, gmgraf@phys.ethz.ch
• Jacob Shapiro, jacobshapiro@princeton.edu
• Michael I. Weinstein, miw2103@columbia.edu

Confirmed speakers

• Alain Joye, Institut Fourier, CNRS Université Grenoble Alpes
• Allan MacDonald, University of Austin, Texas
• Bogdan Bernevig, Princeton University
• Eric Cances, Ecole des Ponts ParisTech
• Eric Séré, Université de Paris
• Eugene Demler, ETH Zürich
• Guillaume Bal, University of Chicago
• Guo Chuan Thiang, Beijing International Center for Mathematical Reserach (BICMR)
• Habib Ammari, ETH Zürich
• Hermann Schulz-Baldes, Friedrich-Alexander-Universität, Erlangen-Nuremberg
• Hubert Saleur, CEA Saclay
• Joseph Avron, Technion - Israel Institute of Technology
• Łukasz Fidkowski, University of Washington
• Maciej Zworski, University of California, Berkeley
• Margherita Disertori, University of Bonn
• Mikael Rechtsman, Penn State
• Mitchell Luskin, University of Minnesota
• Netanel Lindner, Technion - Israel Institute of Technology
• Pierre Delplace, ENS Lyon
• Raquel Queiroz, Columbia University, New York
• Simone Warzel, Technical University of Munich
• Sonia Fliss, ENSTA, Paris
• Yan Fyodorov, King's College London
• Yoshiko Ogata, University of Tokyo

 

Further interested participants are most welcome to register. The following items apply to them only:

Participants are required to book their own accommodations.

Deadline for the registration is June 1st, 2023.

Participants may have an opportunity to present a poster or a short talk, pending on the final scheduling. If you are interested, please indicate so by providing a title and a short abstract (fewer than 100 words) in the appropriate place in the registration form. 

This workshop is supported by the Pauli Center, the Simons Foundation and Annales H. Poincaré.

 

Monday, July 17

8:30 AM → 9:30 AM Registration

9:30 AM → 10:20 AM Habib Ammari, ETH Zurich: "Mathematical aspects of subwavelength physics"

Ammari.pdf

Ammari_Talk.pdf

10:20 AM → 10:40 AM Dan Borgnia, University of California Berkeley: "Projected Green’s Functions in Quasi-Periodic Systems"

Abstract

Borgnia.pdf

10:40 AM → 11:10 AM Coffee Break

11:10 AM → 12:00 PM Yan Fyodorov, King's College London: "Resonances in wave reflection from a disordered medium: nonlinear sigma-model approach"

Fyodorov.pdf

Fyodorov_Talk.pdf

12:00 PM → 12:20 PM Marios Michael, Max Planck Institute: "Vortex mediated Josephson plasmon bound states in the Sine-Gordon model"

Michael.pdf

Michael_Talk.pdf

12:20 PM → 2:00 PM Lunch Break

2:00 PM → 2:50 PM Margherita Disertori, Bonn University: "Phase transition in the Integrated Density of States of the Anderson model arising from a supersymmetric sigma model"

Disertori.pdf

Disertori_Talk.pdf

2:50 PM → 3:10 PM Lucien Jezequel, Ecole Normale Supérieure de Lyon: "The "Mode-Shell" correspondence, a unifying concept in topological physics"

Jezequiel_Talk.pdf

LucienJezequelAbstract.pdf

3:10 PM → 3:40 PM Coffee break

3:40 PM → 4:30 PM Alain Joye, Institut Fourier, Université Grenoble Alpes: "Adiabatic Lindbladian Evolution with Small Dissipators"

Joye.pdf

Joye_Talk.pdf

4:30 PM → 4:50 PM Liora Rueff, ETH Zurich: "Wave interaction of subwavelength resonators in one dimension"

Rueff_Talk.pdf

Ruef.pdf

5:00 PM → 7:00 PM Welcome Reception

Tuesday, July 18

9:30 AM → 10:20 AM Maciej Zworski, University of California, Berkeley: "Dirac points for twisted bilayer graphene with an in-plane magnetic field"

Zworski.pdf

Zworski_Talk.pdf

10:20 AM → 10:40 AM Bryn Davies, Imperial College London: "Periodic approximants of one-dimensional quasicrystals"

Davies.pdf

10:40 AM → 11:10 AM Coffee Break

11:10 AM → 12:00 PM Allan MacDonald, University of Austin, Texas: "Quasiperiodic Questions"

MacDonald.pdf

12:00 PM → 12:20 PM Yichen Hu, Princeton University: "Clifford Loops of Invertible Systems"

Hu.pdf

12:20 PM → 2:00 PM Lunch Break

2:00 PM → 2:50 PM Mitchell Luskin, University of Minnesota: "Electronic and Mechanical Properties of Twisted Bilayer Graphene"

Luskin.pdf

Luskin_Talk.pdf

2:50 PM → 3:10 PM Bastien Lapierre, University of Zurich: "Topologically localized phases"

Lapierre.pdf

Lapierre_Talk.pdf

3:10 PM → 3:40 PM Coffee Break

3:40 PM → 4:30 PM Mikael Rechtsman, The Pennsylvania State University: "Quantized Nonlinear Thouless Pumping and Photonic Landau Levels"

Rechtsman.pdf

4:30 PM → 4:50 PM Per Moosavi, ETH Zurich: "Exact Dirac-Bogoliubov-de Gennes dynamics for inhomogeneous quantum liquids"

Moosavi.pdf

Moosavi_Talk.pdf

Wednesday, July 19

9:00 AM → 9:50 AM Eric Séré, CEREMADE, Université Paris-Dauphine PSL: "Peierls instability and heteroclinic connections in polyacetylene chains"

Séré.pdf

Séré_Talk.pdf

9:50 AM → 10:20 AM Coffee Break

10:20 AM → 11:10 AM Guillaume Bal, University of Chicago: "Asymmetric Transport in Topological Insulators"

Bal.pdf

Bal_Talk.pdf

11:10 AM → 11:25 AM Break

11:25 AM → 12:15 PM Pierre Delplace, CNRS - Ecole Normale Supérieure de Lyon: "Monopole - spectral flow correspondence from condensed matter to geo-astrophysical flows"

Delplace.pdf

12:15 PM → 2:00 PM Lunch

2:00 PM → 2:50 PM Raquel Queiroz, Columbia University: "Impurities and disorder in tight binding models with Wannier obstructions"

2:50 PM → 3:20 PM Coffee Break

3:20 PM → 4:10 PM Sonia Fliss, POEMS, Ensta Paris: "Wave propagation in unbounded quasiperiodic media"

Fliss.pdf

4:10 PM → 4:20 PM Break

4:20 PM → 5:10 PM Bogdan Bernevig, Princeton University: "Integer Polynomial Factorization and Hilbert Space Fragmentation"

5:30 PM → 5:31 PM Excursion to Zürichberg by bus at 17.30 h (evening will be open ended)

Thursday, July 20

9:00 AM → 9:50 AM Joseph Avron, Technion: "A Quantum game: The Mermin-Peres magic square"

Avron.pdf

Avron_talk.pdf

9:50 AM → 10:20 AM Coffee Break

10:20 AM → 11:10 AM Lukasz Fidkowski, University of Washington, Seattle: "A no-go result for implementing chiral symmetries by locality-preserving unitaries in a 3-dimensional Hamiltonian lattice model of fermions"

Fidkowski.pdf

11:10 AM → 11:25 AM Break

11:25 AM → 12:15 PM Guo Chuan Thiang, BICMR, Peking University: "Large-scale geometry and quantization of Hall conductance"

Thiang.pdf

Thiang_Talk.pdf

12:15 PM → 2:00 PM Lunch

2:00 PM → 2:50 PM Yoshiko Ogata, The University of Tokyo: "Operator algebraic approach to topological phases"

Ogata.pdf

2:50 PM → 3:20 PM Coffee Break

3:20 PM → 4:10 PM Eric Cancès, Ecole des Ponts and Inria Paris: "Twisted bilayer graphene: from DFT to moiré-scale models"

Cancès.pdf

Cances_Talk.pdf

4:10 PM → 4:20 PM Break

4:20 PM → 5:10 PM Hubert Saleur, IPHT CEA Saclay France: "Aspects of the bootstrap and field theory for geometrical critical models in 2D"

Saleur_Talk.pdf

6:00 PM → 9:00 PM Workshop dinner: BBQ outside HPR building

http://www.mapsearch.ethz.ch/map.do?gebaeudeMap=HPR

Friday, July 21

9:00 AM → 9:50 AM Simone Warzel, Technical University of Munich: "Quantum Spin Glasses"

Warzel.pdf

9:50 AM → 10:20 AM Coffee Break

10:20 AM → 11:10 AM Hermann Schulz-Baldes, FAU Erlangen-Nuernberg: "The spectral localizer for topological solid state systems"

Schulz-Baldes.pdf

Schulz-Baldes_Talk.pdf

11:10 AM → 11:25 AM Break

11:25 AM → 12:15 PM Netanel Lindner, Technion:

12:15 PM → 12:30 PM Break

12:30 PM → 1:20 PM Eugene Demler, ETH Zurich: "Kinetic magnetism of fermions in triangular lattices"

Demler.pdf

1:20 PM → 2:00 PM Lunch