The generalized Gibbs ensemble as a pseudo-initial state: its predictive power revealed in a second quench

Abstract

The generalized Gibbs ensemble has been shown to be relevant in the relaxation of a completely integrable system subject to a quantum quench, in the sense that it accurately predicts the steady values of some physical variables. We proceed to further question its relevance by giving the quenched system a second quench. The concern is whether the generalized Gibbs ensemble can also accurately predict the relaxed system's response to the second quench. Two case studies with the transverse Ising model and the hard-core bosons in one dimension yield an affirmative answer. The relevance of the generalized Gibbs ensemble in the non-equilibrium dynamics of integrable systems is then greatly strengthened.

5 pages, 2 figures

References in corpus (8)

• Quantum Quench in the Transverse Field Ising Chain
• The Luttinger model following a sudden interaction switch-on
• Dephasing and the steady state in quantum many-particle systems
• Quench dynamics across quantum critical points
• Nonthermal steady states after an interaction quench in the Falicov-Kimball model
• Relaxation of a one-dimensional Mott insulator after an interaction quench
• Correlations in an expanding gas of hard-core bosons
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Cited by in corpus (7)

• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Off-diagonal matrix elements of local operators in many-body quantum systems
• Generalized Gibbs Ensemble for Heisenberg Spin Chains
• Quantum Quenches in the Luttinger model and its close relatives
• Generalized Gibbs Ensemble and string-charge relations in nested Bethe Ansatz