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

References in corpus (3)

• Quantum Quench in the Transverse Field Ising Chain
• Generalized TBA and generalized Gibbs
• Correlations in an expanding gas of hard-core bosons

Cited by in corpus (14)

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• Eigenstate thermalization hypothesis (ETH) and integrability in quantum spin chains
• Quantum quench in the sine-Gordon model
• Quenching the XXZ spin chain: quench action approach versus generalized Gibbs ensemble
• Entanglement evolution and generalised hydrodynamics: interacting integrable systems
• 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
• Exact solution for the quench dynamics of a nested integrable system
• Stationary entropies after a quench from excited states in the Ising chain
• Prethermalisation and Thermalisation in the Entanglement Dynamics
• Quench dynamics of spin-imbalanced Fermi-Hubbard model in one dimension
• Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz