sine-Gordon模型在某些可解极限下的量子猝灭动力学
Quantum quench dynamics of the sine-Gordon model in some solvable limits
摘要：
结合孤立量子系统中的热化问题，我们研究了Luther-Emery中sine-Gordon模型量子猝灭后的动力学和半经典极限.我们考虑了从有隙到无隙的失超以及反向失超。通过得到零温下序参量算符的单点和两点关联函数的解析表达式，研究了sine-Gordon模型在无热化时可积性的表现.因此，它表明，在淬火后的长时间制度的相关性很好地描述了广义吉布斯系综。我们还考虑的情况下，该系统最初是在有限的温度下与水库接触。我们的研究结果与当前和未来的超冷原子系统的实验可能的相关性也被严格考虑。
英文摘要：
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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