Loschmidt echo for a chaotic oscillator

Details Loschmidt echo for a chaotic oscillator Loschmidt echo for a chaotic oscillator

2003-12-09

arxiv.org/abs/nlin/0312018v1

Nonlinear Sciences

Chaotic Dynamics

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Scientific paper

10.1103/PhysRevE.70.026206

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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