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Topology, Disorder, and Hydrodynamics in Non-equilibrium Quantum Matter

Erwin Schrödinger International Institute for Mathematics and Physics (ESI) via YouTube

Overview

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Explore advanced concepts in non-equilibrium quantum matter through this comprehensive lecture series featuring leading researchers in theoretical and experimental quantum physics. Delve into emergent hydrodynamics in many-body systems, quantum gas microscopy techniques, and generalized hydrodynamics frameworks. Examine experimental observations of Kardar-Parisi-Zhang superdiffusion, two-sound phenomena in shaken 2D Bose gases, and loss mechanisms in one-dimensional Bose gases. Investigate theoretical approaches including influence matrix methods for quantum many-body dynamics, localization phenomena in correlated long-range systems, and non-ergodic behavior with Hilbert-space fragmentation. Study fracton dynamics, efficient quantum transport simulation methods, and thermalization dynamics of local observables. Learn about machine learning applications for extracting complexity from quantum dynamics, subdiffusive hydrodynamics in nearly-integrable spin systems, and unraveling techniques for quantum many-body dynamics. Discover dynamic phases in quasiperiodically driven systems, monitored quantum dynamics through spacetime duality, and topological frequency conversion in driven Weyl semimetals. Examine emergent universal phenomena in one-dimensional Bose gases, entanglement transitions with symmetry considerations, and exact quantum state designs emerging from chaotic dynamics.

Syllabus

Benjamin Doyon - Emergent hydrodynamics in many-body systems
Immanuel Bloch - Quantum Gas Microscopy of Kardar-Parisi-Zhang Superdiffusion
Pasquale Calabrese - Quantum generalized hydrodynamics
Zoran Hadzibabic - Two sounds and turbulence in shaken 2D Bose gases
Isabelle Bouchoule - Losses in 1D Bose gases
Dmitry Abanin - Influence matrix approach to quantum many-body dynamics
Ivan Khaymovich - Localization beyond convergence of loc.expansion in correlated long-range systems
Monika Aidelsburger - Non-ergodicity and emergent Hilbert-space fragmentation
Rahul Nandkishore - Fracton dynamics
Frank Pollmann - Efficient Simulation of Quantum Transport in 1D
Jens H Bardarson - Time-evolution of local information: thermalization dynamics of local observables
Zala Lenarcic - Extracting complexity of quantum dynamics using machine learning
Jacopo De Nardis - Subdiffusive hydrodynamics of nearly-integrable anisotropic spin chains
Marco Schiro - Unraveling Quantum Many Body Dynamics
Philipp Dumitrescu - Dynamic phases in quasiperiodically driven quantum many-body systems
Matteo Ippoliti - Monitored quantum dynamics via spacetime duality
Gil Refael - Topological two frequency conversion in doubly driven Weyl semimetal
Maximilian Pruefer - Probing emergent universal phenomena with one-dimensional Bose gases
Sarang Gopalakrishnan - Entanglement transitions and symmetries
Wen Wei Ho - Exact emergent quantum state designs from quantum chaotic dynamics

Taught by

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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