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Special Session: Recent Advances in Mathematical Physics: A Focus on (Many-Body) quantum systems and spectral theory.
Special Session: Recent Advances in Mathematical Physics: A Focus on (Many-Body) quantum systems and spectral theory.
Quantum Systems and Spectral Theory, AIMS 2024 (16 to 20 Dec 2024), Abu Dhabi.
About
About
I organized a special session about Mathematical Physics in the AIMS 2024 conference in Abu Dhabi (Dec 16 to 20, 2025)
https://aimsconference.org/AIMS-Conference/conf-reg2024/ss/changeApp12.php?ssid=99.
Summary
Summary
Mathematical Physics remains an active area of research that combines tools from mathematical analysis to further understand certain physical phenomena. This proposed special session to spotlight recent advances within the field, with a particular emphasis on the following key areas: (a) Quantum Many-Body Systems: quantum propagation velocity, Adiabatic dynamics, Entanglement, correlations, and the study of spectral gaps. (b) Disordered, Periodic, and Quasi-Periodic Quantum Systems: Localization/delocalization, quantum propagation, and spectral analysis. (c) Quantum Walks: Transport and spectral properties. By inviting researchers from diverse geographical locations, this special session aims to facilitate vibrant discussions and foster new collaborations. Held in the central location of the UAE, it provides a conducive environment for exchange and exploration, nurturing the growth of interdisciplinary research in mathematical physics.
Talks
Talks
Simon Becker (ETH Zurich) Mathematics of Moire materials
Benjamin Hinrichs (Paderborn University) Ground States of Spin Boson Models and Long Range Order in 1D Ising Models
Ramis Movassagh (Google Quantum AI) Super-critical entanglement in strongly interacting simple models
Bruno Nachtergaele (University of California, Davis) LTQO and spectral gap stability for the AKLT model on the hexagonal lattice
Mostafa Sabri (New York University Abu Dhabi) Atypical spectra and dynamics of non-locally finite crystals
Wolfgang Spitzer (Fern Universitaet in Hagen) Entanglement entropy in the ground state of non-interacting massless Dirac fermions in dimension one
Egor Tiunov (Technology Innovation Institute, Abu Dhabi) Quantum-inspired framework for computational fluid dynamics
Kazuyuki Wada (Hokkaido University of Education) A weak limit theorem for quantum walks in 1-dimension
Albert H. Werner (QMATH - University of Copenhagen) Exponential tail estimates for quantum lattice dynamics
Jingxuan Zhang (Tsinghua University) Propagation bounds for long-range interacting bosons
Conference: AZSchool 2018
Conference: AZSchool 2018
ARIZONA SCHOOL 2018
ARIZONA SCHOOL 2018
Bob Sims, Amanda Young, and I co-organized the Arizona School of Analysis and Mathematical Physics in March 2018, see the following link for the details:
http://math.arizona.edu/~mathphys/AZSchool18
AMS CONTEMPORARY MATHEMATICS PROCEEDINGS
AMS CONTEMPORARY MATHEMATICS PROCEEDINGS
The articles in this volume reflect recent progress and innovative techniques developedwithin mathematical physics. Two works investigate spectral gaps of quantum spin systems. Specifically, Abdul-Rahman, Lemm, Lucia, Nachtergaele, and Young consider decorated AKLT models, and Lemm demonstrates a finite-size criterion for D-dimensional models. Bachmann, De Roeck, and Fraas summarize a recent proof of the adiabatic theorem, while Bachmann, Bols, De Roeck, and Fraas discuss linear response for interacting Hall insulators. Models on general graphs are the topic of the articles by Fischbacher, on higher spin XXZ, and by Latushkin and Sukhtaiev, on an index theorem for Schrodinger operators. Probabilistic applications are the focus of the articles by DeMuse and Yin, on exponential random graphs, by Saenz, on KPZ universality, and by Stolz, on disordered quantum spin chains.
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