2012/04/30 by I. Garcia-Mata, Ignacio García-Mata, C. Pineda +3
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Artificial intelligence #CHAOS (operating system) #Chaotic #Computer science #Control theory (sociology) #Markov process #Mathematics #Measure (data warehouse) #Physics #Quantum #Quantum Mechanics and Applications #Quantum chaos #Quantum chaos and dynamical systems #Quantum dynamics #Quantum mechanics #Sensitivity (control systems) #Statistical physics #Synchronization of chaos #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physreva.86.022114
published as Phys. Rev. A 86, 022114 (2012) · Closest to the published version
openalex publication_date 2012/08/20 · arxiv created 2012/08/31 · arxiv updated 2012/09/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.