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Irreversibility with quantum trajectories.

D A Wisniacki1, F Borondo, R M Benito

  • 1Departamento de Química C-IX, Universidad Autónoma de Madrid, Cantoblanco, 28049-Madrid, Spain. wisniacki@df.uba.ar

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
PubMed
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Researchers developed a new measure for quantum irreversibility using quantum trajectories. This method, applied to chaotic systems like the Bunimovich stadium billiard, offers a more informative way to study quantum process irreversibility.

Area of Science:

  • Quantum Mechanics
  • Statistical Physics
  • Chaos Theory

Background:

  • Irreversibility is a critical aspect of many quantum processes, impacting their behavior and predictability.
  • Loschmidt echoes, initially designed to measure sensitivity to perturbations in quantum mechanics, have emerged as a valuable tool for investigating quantum irreversibility.

Purpose of the Study:

  • To introduce a novel and more informative measure for quantifying irreversibility in quantum systems.
  • To extend the application of Loschmidt echo philosophy using quantum trajectories within Bohm's causal interpretation of quantum mechanics.

Main Methods:

  • Utilized quantum trajectories as defined in the causal interpretation of quantum mechanics (Bohmian mechanics).
  • Developed an alternative measure for irreversibility based on the quantum trajectory formalism.

Related Experiment Videos

  • Applied the new measure to the Bunimovich stadium billiard, a well-established model for chaotic systems.

    • Main Results:

    • The proposed measure provides a more informative assessment of irreversibility compared to traditional methods like Loschmidt echoes.
    • The study successfully demonstrates the applicability of the new measure to a paradigmatic chaotic system.

    Conclusions:

    • The quantum trajectory approach offers a powerful framework for understanding and quantifying irreversibility in quantum mechanics.
    • The Bunimovich stadium billiard serves as an effective model for exploring quantum irreversibility in mesoscopic devices.