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Related Experiment Videos

Embedding dissipation and decoherence in unitary evolution schemes.

A R P Rau1, R A Wendell

  • 1Department of Physics and Astronomy, Louisiana State University, Baton Rouge 70803-4001, USA. arau@phys.lsu.edu

Physical Review Letters
|December 18, 2002
PubMed
Summary

Quantum physics master equations for dissipation and decoherence are solved by embedding density matrices into Liouville-Bloch equations. This method uses classical equations to track quantum state evolution, including non-unitary effects.

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Area of Science:

  • Quantum Physics
  • Quantum Information Theory
  • Chemical Physics

Background:

  • Dissipation and decoherence describe the loss of quantum coherence and the transition from pure to mixed quantum states.
  • Master equations for the density matrix are the standard approach to model these open quantum system dynamics.
  • Solving these master equations, especially for complex systems, can be computationally challenging.

Purpose of the Study:

  • To adapt unitary integration methods for solving master equations.
  • To incorporate non-unitary effects like dissipation and decoherence into quantum state evolution.
  • To provide a method that relies on classical, initial value time-dependent equations as input.

Main Methods:

  • Embedding elements of the quantum density matrix into a higher-dimensional Liouville-Bloch equation.

Related Experiment Videos

  • Adapting techniques from unitary integration to solve the extended Liouville-Bloch equation.
  • Utilizing solutions of classical, initial value time-dependent equations as the primary input.

    • Main Results:

    • The adapted unitary integration method successfully solves for the time evolution of the density matrix.
    • The method accurately includes the effects of dissipation and decoherence.
    • Demonstrated applicability for a damped, driven two-level system, a fundamental model in quantum optics and quantum information.

    Conclusions:

    • This approach offers a novel way to solve open quantum system dynamics described by master equations.
    • It simplifies the computational requirements by leveraging classical equation solvers.
    • The method is versatile and applicable to various quantum systems exhibiting dissipation and decoherence.