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Classical Loschmidt echo in chaotic many-body systems

Gregor Veble·Tomaz Prosen
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Abstract

General theoretic approach to classical Loschmidt echoes in chaotic systems with many degrees of freedom is developed. For perturbations which affect essentially all degrees of freedom we find a doubly exponential decay with the rate determined by the largest Lyapunov exponent. The scaling of the decay rate on the perturbation strength depends on whether the initial phase-space density is continuous or not.

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Gregor Veble, Tomaz Prosen. 2005-03-21. Classical Loschmidt echo in chaotic many-body systems. https://doi.org/10.1103/physreve.72.025202

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