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arXiv · 1204.3614

Non-Markovian Quantum Dynamics and Classical Chaos

I. Garcia-Mata·C. Pineda·D. A. Wisniacki
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Abstract

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 on 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 to identify quantum chaos. The long time behavior is established as a finite size effect which vanishes for large enough environments.

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I. Garcia-Mata, C. Pineda, D. A. Wisniacki. 2012-08-31. Non-Markovian Quantum Dynamics and Classical Chaos. https://doi.org/10.1103/physreva.86.022114

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