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Quantum dynamics in open quantum-classical systems.

Raymond Kapral1

  • 1Department of Chemistry, Chemical Physics Theory Group, University of Toronto, Toronto, ON, M5S 3H6 Canada.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|January 31, 2015
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Summary
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Investigating open quantum systems requires understanding environmental interactions. This review explores quantum-classical Liouville dynamics for simulating these complex systems, offering a computationally tractable approach.

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Area of Science:

  • Quantum Mechanics
  • Chemical Physics
  • Computational Chemistry

Background:

  • Open quantum systems interact with their environments, leading to decoherence and dissipation.
  • Environmental interactions significantly influence quantum system properties.
  • Classical approximations for environments necessitate quantum-classical descriptions.

Purpose of the Study:

  • To review quantum-classical Liouville dynamics for open quantum systems.
  • To discuss challenges in combining quantum and classical mechanics.
  • To explore related theories and simulation methods.

Main Methods:

  • Focus on quantum-classical Liouville dynamics.
  • Discussion of coherence and decoherence in quantum-classical systems.
  • Examination of nonadiabatic dynamics, surface-hopping, and mean-field theories.

Main Results:

  • Mixed quantum-classical methods offer accurate and tractable dynamics simulations.
  • Quantum-classical Liouville dynamics provides a framework for open quantum systems.
  • Various theoretical approaches are related to quantum-classical Liouville dynamics.

Conclusions:

  • Quantum-classical methods are essential for simulating complex open quantum systems.
  • Understanding decoherence and nonadiabatic effects is crucial.
  • Quantum-classical Liouville dynamics is a key approach for simulating quantum-classical dynamics.