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

• Published in: arXiv.org
• Main Authors: Iucci, A, Cazalilla, M A
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 26.03.2010
• Subjects: Order parameters; Physics - Quantum Gases; Thermalization (energy absorption)
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1003.5167

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.