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Decoherence in a classically chaotic quantum system: Entropy production and quantum-classical correspondence

2001/06/15 by Diana Monteoliva, Juan Pablo Paz · 2 citations
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #quant-ph #stochastic dynamics and bifurcation

paper · pdf · doi:10.1103/physreve.64.056238

14 pages, 12 figures (color figures in low resolution)

arxiv created 2001/06/15 · openalex publication_date 2001/10/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the decoherence process for an open quantum system that is classically chaotic (a quartic double well with harmonic driving coupled to a sea of harmonic oscillators). We carefully analyze the time dependence of the rate of entropy production showing that it has two relevant regimes: For short times it is proportional to the diffusion coefficient (fixed by the system-environment coupling strength); for longer times (but before equilibration) it is fixed by dynamical properties of the system (and is related to the Lyapunov exponent). The nature of the transition time between both regimes is investigated and the issue of quantum to classical correspondence is addressed. Finally, the impact of the interaction with the environment on coherent tunneling is analyzed.

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