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Decoherence and quantum-classical dynamics in a dissipative bath.

J P Rank1, Raymond Kapral

  • 1Department of Chemistry, Chemical Physics Theory Group, University of Toronto, Toronto, Ontario M5S 3H6, Canada. jprank@chem.utoronto.ca

The Journal of Chemical Physics
|February 23, 2010
PubMed
Summary
This summary is machine-generated.

This study investigates quantum-classical systems interacting with a dissipative bath. Rapid decoherence, controlled by bath friction, simplifies dynamics to a master equation, aiding decoherence mechanism studies.

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Area of Science:

  • Quantum dynamics
  • Chemical physics
  • Statistical mechanics

Background:

  • Investigating mixed quantum-classical systems is crucial for understanding energy dissipation to the environment.
  • The role of a dissipative bath is significant even when its internal dynamics are not explicitly detailed.

Purpose of the Study:

  • To explore the dynamics of mixed quantum-classical systems coupled to a dissipative bath.
  • To analyze the influence of decoherence, controlled by bath friction, on system dynamics.
  • To establish the conditions under which a master equation can effectively describe these dynamics.

Main Methods:

  • Simulating system dynamics using an ensemble of stochastic surface-hopping trajectories.
  • Controlling the strength of dissipation via a friction coefficient.
  • Analyzing the reduction of the equation of motion to a master equation under rapid decoherence.

Main Results:

  • Demonstrated that rapid decoherence, driven by bath friction, leads to a master equation description of dynamics.
  • Showcased the ability to explore decoherence and master equation validity as a function of bath friction.
  • Applied the framework to investigate decoherence mechanisms in a model nonadiabatic chemical reaction.

Conclusions:

  • The developed framework provides a method to study decoherence in quantum-classical systems.
  • Master equation models are valid under conditions of sufficiently rapid decoherence.
  • The study offers insights into the mechanism of decoherence in nonadiabatic chemical reactions.