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

D Monteoliva1, J P Paz

  • 1Departamento de Fisica Juan José Giambiagi, FCEyN, UBA, Pabellon 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina. monteoli@df.uba.ar

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 12, 2001
PubMed
Summary

We investigated decoherence in chaotic quantum systems. The rate of entropy production depends on system-environment coupling at short times and system dynamics, like the Lyapunov exponent, at longer times.

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Area of Science:

  • Quantum mechanics
  • Chaos theory
  • Statistical mechanics

Background:

  • Open quantum systems exhibit decoherence, losing quantum properties due to environmental interactions.
  • Classically chaotic systems present unique challenges in understanding quantum decoherence and its impact on dynamics.

Purpose of the Study:

  • To analyze the decoherence process in a classically chaotic open quantum system.
  • To investigate the time dependence of entropy production and its relation to system and environment properties.
  • To explore quantum-to-classical correspondence and the effect of decoherence on quantum tunneling.

Main Methods:

  • Studied a quartic double-well system driven harmonically and coupled to a bath of harmonic oscillators.
  • Analyzed the time evolution of the rate of entropy production.

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  • Investigated the transition between different dynamical regimes and its relation to the Lyapunov exponent.

    • Main Results:

    • Identified two distinct regimes for entropy production rate: short-time dependence on diffusion coefficient (coupling strength) and longer-time dependence on system dynamics (Lyapunov exponent).
    • Characterized the transition time between these regimes.
    • Showed that environmental interactions significantly impact coherent tunneling.

    Conclusions:

    • The decoherence rate in classically chaotic quantum systems is governed by different physical parameters at different timescales.
    • The study provides insights into quantum-to-classical correspondence by examining how environmental coupling influences chaotic dynamics.
    • Understanding these decoherence mechanisms is crucial for controlling quantum phenomena like tunneling.