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

Understand

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.