Quantum quench dynamics of the sine-Gordon model in some solvable limits

Abstract

In connection with the the thermalization problem in isolated quantum systems, we investigate the dynamics following a quantum quench of the sine-Gordon model in the Luther-Emery and the semiclassical limits. We consider the quench from the gapped to the gapless phase as well as reversed one. By obtaining analytic expressions for the one and two-point correlation functions of the order parameter operator at zero-temperature, the manifestations of integrability in the absence of thermalization in the sine-Gordon model are studied. It is thus shown that correlations in the long time regime after the quench are well described by a generalized Gibbs ensemble. We also consider the case where the system is initially in contact with a reservoir at finite temperature. The possible relevance of our results to current and future experiments with ultracold atomic systems is also critically considered.

21 pages, no figures. To appear in New J. Phys.

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• Universal Rephasing Dynamics after a Quantum Quench via Sudden Coupling of Two Initially Independent Condensates
• Finite-size corrections vs. relaxation after a sudden quench
• Initial state dependence of the quench dynamics in integrable quantum systems. II. Thermal states
• Initial state dependence of the quench dynamics in integrable quantum systems. III. Chaotic states
• Quantum Correlations in Field Theory and Integrable Systems