Emanuele G. Dalla Torre, Eugene Demler, Anatoli Polkovnikov
We consider a quantum quench in which two initially independent condensates are suddenly coupled, and study the subsequent "rephasing" dynamics. For weak couplings the time-evolution of physical observables is predicted to follow universal scaling laws, connecting the short-time dynamics to the long-time non-perturbative regime. We first describe a two-modes model valid in two and three dimensions and then move to one dimension, where the problem is described by a massive Sine-Gordon theory. Combining analytical and numerical methods we compute universal time-dependent expectation values and distribution functions, allowing a qualitative comparison with future experiments.
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http://arxiv.org/abs/1211.5145
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