%0 Journal Article %T Non-Markovian Quantum Dynamics and Classical Chaos %A I. Garcia-Mata %A C. Pineda %A D. A. Wisniacki %J Physics %D 2012 %I arXiv %R 10.1103/PhysRevA.86.022114 %X 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. %U http://arxiv.org/abs/1204.3614v2