An effective Bethe ansatz approximates eigenstates of non-integrable quantum many-body models by adjusting Bethe roots to minimize physically motivated cost functions.
Thermalization and prethermalization in isolated quantum systems: a theoretical overview
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The approach to thermal equilibrium, or thermalization, in isolated quantum systems is among the most fundamental problems in statistical physics. Recent theoretical studies have revealed that thermalization in isolated quantum systems has several remarkable features, which emerge from quantum entanglement and are quite distinct from those in classical systems. Experimentally, well isolated and highly controllable ultracold quantum gases offer an ideal system to study the nonequilibrium dynamics in isolated quantum systems, triggering intensive recent theoretical endeavors on this fundamental subject. Besides thermalization, many isolated quantum systems show intriguing behavior in relaxation processes, especially prethermalization. Prethermalization occurs when there is a clear separation in relevant time scales and has several different physical origins depending on individual systems. In this review, we overview theoretical approaches to the problems of thermalization and prethermalization.
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Introduces crosscap quenches in CFTs and holographic models to derive universal entanglement entropy evolution, validated by numerics in spin systems.
A form factor framework is introduced to compute expectation values and time evolution after an integrable boundary quantum quench, applied to the Lee-Yang model at conformal and massive points with TCSA validation.
The paper establishes that typical states in a grand-canonical micro-canonical Hilbert subspace produce the grand-canonical density matrix and a GAP/Scrooge wave-function distribution for the subsystem.
Numerical study of a qutrit lattice with conserved charge shows thermalization signatures in states outside microcanonical windows of energy and charge, supporting a generalized form of ETH called generic ETH.
A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.
citing papers explorer
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The Roaming Bethe Roots: An Effective Bethe Ansatz Beyond Integrability
An effective Bethe ansatz approximates eigenstates of non-integrable quantum many-body models by adjusting Bethe roots to minimize physically motivated cost functions.
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Crosscap Quenches and Entanglement Evolution
Introduces crosscap quenches in CFTs and holographic models to derive universal entanglement entropy evolution, validated by numerics in spin systems.
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Expectation values after an integrable boundary quantum quench
A form factor framework is introduced to compute expectation values and time evolution after an integrable boundary quantum quench, applied to the Lee-Yang model at conformal and massive points with TCSA validation.
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Grand-Canonical Typicality
The paper establishes that typical states in a grand-canonical micro-canonical Hilbert subspace produce the grand-canonical density matrix and a GAP/Scrooge wave-function distribution for the subsystem.
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Generic ETH: Eigenstate Thermalization beyond the Microcanonical
Numerical study of a qutrit lattice with conserved charge shows thermalization signatures in states outside microcanonical windows of energy and charge, supporting a generalized form of ETH called generic ETH.
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Coherent and dissipative dynamics at quantum phase transitions
A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.