Non-Markovian Quantum Dynamics and Classical Chaos
Quantum Physics
2012-09-03 v2 Chaotic Dynamics
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.
Cite
@article{arxiv.1204.3614,
title = {Non-Markovian Quantum Dynamics and Classical Chaos},
author = {I. Garcia-Mata and C. Pineda and D. A. Wisniacki},
journal= {arXiv preprint arXiv:1204.3614},
year = {2012}
}
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