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

Abstract

We study the decoherence process for an open quantum system which is classically chaotic (a quartic double well with harmonic driving coupled to a sea of harmonic oscillators). We 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.

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

References in corpus (2)

• Decoherence for classically chaotic quantum maps
• Breakdown of correspondence in chaotic systems: Ehrenfest versus localization times

Cited by in corpus (18)

• Decoherence and the Loschmidt echo
• Quantum Chaotic Environments, The Butterfly Effect, And Decoherence
• Entanglement production in coupled chaotic systems : Case of the Kicked Tops
• Decoherence from a Chaotic Environment: An Upside Down "Oscillator" as a Model
• Caldeira--Leggett quantum master equation in Wigner phase space: continued-fraction solution and application to Brownian motion in periodic potentials
• The Wigner Current for Open Quantum Systems
• Decoherence, tunneling and noise-activation in a double-potential well at high and zero temperature
• Chaos, decoherence and quantum cosmology
• Real time approach to tunneling in open quantum systems: decoherence and anomalous diffusion
• Decoherence induced by an interacting spin environment in the transition from integrability to chaos
• On Quantum - Classical Correspondence for Baker's Map
• A semiclassical condition for chaos based on Pesin theorem
• The Loschmidt echo in classically chaotic systems: Quantum chaos, irreversibility and decoherence
• Scaling laws in the quantum to classical transition in chaotic systems
• Noise-induced energy excitation by a general environment
• Quantum to classical transition in a system with a mixed classical dynamics
• Signature candidate of quantum chaos far from the semiclassical regime
• Interscale entanglement production in a quantum system simulating classical chaos