Quantum quenches as classical critical films

Details Quantum quenches as classical critical films Quantum quenches as classical critical films

2010-12-23

arxiv.org/abs/1012.5294v2

EPL 95 (2011) 66007

Physics

Condensed Matter

Statistical Mechanics

6 pages, 5 figures, published version with additional comments and extended discussion

Scientific paper

10.1209/0295-5075/95/66007

We study the unitary time evolution of the order parameter of a quantum system after a sudden quench in the parameter driving the transition. By mapping the dynamics onto the imaginary time path-integral in a film geometry we derive the full mean-field non-equilibrium phase diagram for a one-component order parameter. The recently discovered non-equilibrium transition is identified with the shifted critical point in films and therefore it is generally expected to occur in more than one spatial dimension. We also find that anharmonic oscillations of the order parameter are a general feature of the mean-field quench dynamics.

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