Non-Markovian Quantum Dynamics and Classical Chaos

Details Non-Markovian Quantum Dynamics and Classical Chaos Non-Markovian Quantum Dynamics and Classical Chaos

2012-04-16

arxiv.org/abs/1204.3614v1

Physics

Quantum Physics

4 & 1/4 pages, 3 figures

Scientific paper

We study the influence of a chaotic environment in the evolution of an open quantum system. We show that there is an inverse relation between chaos and non-Markovianity. In particular we remark the deep relation of the short time non-Markovian behavior with the revivals of the average fidelity amplitude -- a fundamental quantity used to measure sensitivity to perturbations, and identify quantum chaos. The long time behavior is established as a finite size effect which vanishes for large enough environments.

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