Non-Markovian Quantum Dynamics and Classical Chaos

TL;DR

This paper investigates how chaotic environments affect open quantum systems, revealing an inverse relationship between chaos and non-Markovianity, with short-term memory effects linked to quantum chaos indicators.

Contribution

It uncovers the inverse relation between chaos and non-Markovianity and connects short-time non-Markovian behavior to fidelity amplitude revivals in quantum chaos.

Findings

Short-time non-Markovianity correlates with fidelity amplitude revivals.

Long-time non-Markovian effects diminish with larger environments.

Chaos reduces non-Markovian behavior in quantum systems.

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.