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Loschmidt echo for a chaotic oscillator

Chaotic Dynamics 2009-11-10 v1

Abstract

Chaotic dynamics of a nonlinear oscillator is considered in the semiclassical approximation. The Loschmidt echo is calculated for a time scale which is of the power law in semiclassical parameter. It is shown that an exponential decay of the Loschmidt echo is due to a Lyapunov exponent and it has a pure classical nature.

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Cite

@article{arxiv.nlin/0312018,
  title  = {Loschmidt echo for a chaotic oscillator},
  author = {A. Iomin},
  journal= {arXiv preprint arXiv:nlin/0312018},
  year   = {2009}
}

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