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Lindbladian approximation beyond ultraweak coupling.

Tobias Becker1, Ling-Na Wu1, André Eckardt1

  • 1Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany.

Physical Review. E
|August 20, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces a new Lindbladian approximation for open quantum systems, improving accuracy beyond the standard rotating-wave approximation (RWA). This method enhances simulations of quantum systems, especially in nonequilibrium conditions.

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Area of Science:

  • Quantum Physics
  • Condensed Matter Theory
  • Computational Physics

Background:

  • Open quantum systems' properties depend on environmental interactions, necessitating accurate master equations (MEs).
  • Lindblad-type master equations are crucial for Markovian dynamics and quantum trajectory simulations.
  • Current derivations often rely on the rotating-wave approximation (RWA), limiting accuracy for strong system-bath coupling and nonequilibrium scenarios.

Purpose of the Study:

  • To derive a more universally applicable Lindbladian approximation to the Redfield equation.
  • To overcome the limitations of the rotating-wave approximation (RWA) in describing nonequilibrium quantum systems.
  • To provide a more robust theoretical framework for simulating open quantum systems.

Main Methods:

  • Microscopic derivation of a Lindbladian approximation to the Born-Markov-Redfield equation.
  • Development of an approximation that does not require ultraweak system-bath coupling.
  • Application of the new method to an extended Hubbard model coupled to Ohmic baths.

Main Results:

  • The derived Lindbladian approximation is valid for stronger system-bath couplings than the RWA.
  • The new method provides accurate approximations for nonequilibrium processes where the RWA fails.
  • Simulations on an extended Hubbard model demonstrate the improved performance away from equilibrium.

Conclusions:

  • The novel Lindbladian approximation offers a significant improvement over the RWA for open quantum systems.
  • This approach enhances the accuracy of master equations and quantum trajectory simulations, particularly in nonequilibrium regimes.
  • The findings are crucial for understanding and simulating complex quantum phenomena in various physical systems.