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

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

2010-03-26

arxiv.org/abs/1003.5167v1

New J.Phys.12:055019,2010

Physics

Condensed Matter

Quantum Gases

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

Scientific paper

10.1088/1367-2630/12/5/055019

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.

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