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Quench dynamics as a probe of quantum criticality

Statistical Mechanics 2009-10-05 v1 Quantum Gases

Abstract

Quantum critical points of many-body systems can be characterized by studying response of the ground-state wave function to the change of the external parameter, encoded in the ground-state fidelity susceptibility. This quantity characterizes the quench dynamics induced by sudden change of the parameter. In this framework, I analyze scaling relations concerning the probability of excitation and the excitation energy, with the quench amplitude of this parameter. These results are illustrated in the case of one-dimensional sine-Gordon model.

Keywords

Cite

@article{arxiv.0910.0255,
  title  = {Quench dynamics as a probe of quantum criticality},
  author = {R. A. Barankov},
  journal= {arXiv preprint arXiv:0910.0255},
  year   = {2009}
}

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4 pages