Global large time dynamics and the generalized Gibbs ensemble

Abstract

We study the large time dynamics of a macroscopically large quantum systems under a sudden quench. We show that, first of all, for a generic system in the thermodynamic limit the Gibbs distribution correctly captures the large time dynamics of its global observables. In contrast, for an integrable system, the generalized Gibbs ensemble captures its global large time dynamics only if the system can be thought of as a number of noninteracting uncorrelated fermionic degrees of freedom. The conditions for the generalized Gibbs ensemble to capture the large time dynamics of local quantities are likely to be far less restrictive, but this question is not systematically addressed here.

5 pages

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Cited by in corpus (42)

• From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
• Generalized Gibbs ensemble in integrable lattice models
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Time evolution of local observables after quenching to an integrable model
• Correlations after quantum quenches in the XXZ spin chain: Failure of the Generalized Gibbs Ensemble
• Entanglement spreading in a minimal model of maximal many-body quantum chaos
• Validity of the GGE for quantum quenches from interacting to noninteracting models
• Eigenstate thermalization hypothesis (ETH) and integrability in quantum spin chains
• Quantum quench in the sine-Gordon model
• Infinite-time Average of Local Fields in an Integrable Quantum Field Theory after a Quantum Quench
• Stationary behaviour of observables after a quantum quench in the spin-1/2 Heisenberg XXZ chain
• Entanglement evolution and generalised hydrodynamics: noninteracting systems
• Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
• Quench dynamics of a Tonks-Girardeau gas released from a harmonic trap
• Quench action and Renyi entropies in integrable systems
• Generalized Gibbs Ensemble for Heisenberg Spin Chains
• Entanglement evolution and generalised hydrodynamics: interacting integrable systems
• Quantum quenches in the sinh-Gordon model: steady state and one point correlation functions
• Quantum quenches from excited states in the Ising chain
• Correlations and diagonal entropy after quantum quenches in XXZ chains
• Finite-size corrections vs. relaxation after a sudden quench
• Pre-relaxation in weakly interacting models
• Rényi entropies after releasing the Néel state in the XXZ spin-chain
• Exact solution for the quench dynamics of a nested integrable system
• Stationary entanglement entropies following an interaction quench in 1D Bose gas
• Multipartite entanglement structure in the Eigenstate Thermalization Hypothesis
• Spreading of entanglement and correlations after a quench with intertwined quasiparticles
• Stationary entropies after a quench from excited states in the Ising chain
• Quasi-local conserved charges and spin transport in spin-$1$ integrable chains
• Entanglement and diagonal entropies after a quench with no pair structure
• Non-equilibrium dynamics of coupled Luttinger liquids
• Rényi entropies of generic thermodynamic macrostates in integrable systems
• Non-equilibrium dynamics of charged dual-unitary circuits
• Growth of entanglement of generic states under dual-unitary dynamics
• Post-quench dynamics and pre-thermalization in a resonant Bose gas
• Prethermalisation and Thermalisation in the Entanglement Dynamics
• Generalized microcanonical and Gibbs ensembles in classical and quantum integrable dynamics
• Molecular dynamics simulation of entanglement spreading in generalized hydrodynamics
• Quench dynamics of spin-imbalanced Fermi-Hubbard model in one dimension
• Measuring post-quench entanglement entropy through density correlations
• Quench dynamics in lattices above one dimension: the free fermionic case
• Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz