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Quantum dissipation in unbounded systems.

Jeremy B Maddox1, Eric R Bittner

  • 1Department of Chemistry, University of Houston, Houston, Texas 77204, USA. jmaddox@uh.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 28, 2002
PubMed
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This study introduces a new hydrodynamic method to simulate quantum systems interacting with thermal environments. It extends trajectory-based quantum dynamics to include dissipative effects, crucial for understanding open quantum systems.

Area of Science:

  • Quantum mechanics
  • Computational physics
  • Statistical mechanics

Background:

  • Trajectory-based methods are gaining traction for analyzing quantum system evolution.
  • The de Broglie-Bohm interpretation enables a hydrodynamic view of quantum dynamics.
  • Previous hydrodynamic schemes were limited to conservative quantum systems.

Purpose of the Study:

  • To develop a hydrodynamic methodology for quantum dynamics incorporating thermal environments.
  • To extend trajectory-based quantum simulations to open, dissipative systems.
  • To investigate the validity of the Markov approximation in low-temperature, open quantum systems.

Main Methods:

  • Derivation of hydrodynamic equations of motion from the Caldeira-Leggett master equation.

Related Experiment Videos

  • Utilizing an adaptive Lagrangian mesh for computational efficiency.
  • Employing the Wigner phase space representation and linear entropy for analysis.

    • Main Results:

    • Successfully incorporated dissipative effects into the hydrodynamic formulation of quantum dynamics.
    • Demonstrated the breakdown of the Markov approximation at low temperatures in open, unbounded quantum systems.
    • Provided criteria for assessing the validity of the Markov approximation.

    Conclusions:

    • The developed methodology enables the study of dissipative dynamics in open quantum systems using Bohmian trajectories.
    • The research offers insights into decoherence, energy relaxation, and quantum-classical correspondence in dissipative quantum dynamics.
    • The findings are crucial for understanding quantum systems interacting with their environment.