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Perturbative approach to Markovian open quantum systems.

Andy C Y Li1, F Petruccione2, Jens Koch1

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We developed a new perturbation theory for Markovian open quantum systems. This approach overcomes limitations of existing numerical methods, enabling analytical insights and practical calculations for complex quantum systems.

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Area of Science:

  • Quantum Physics
  • Quantum Information Science

Background:

  • Exact treatment of Markovian open quantum systems is computationally demanding due to large Hilbert space sizes.
  • Existing numerical methods like Liouville super-operator diagonalization and quantum trajectory averaging face scalability issues.
  • Perturbation theory, while established for closed systems, is underdeveloped for open quantum systems, particularly for the Lindblad master equation.

Purpose of the Study:

  • To present a novel perturbative treatment for Markovian open quantum systems.
  • To enable analytical understanding of open quantum system dynamics.
  • To facilitate numerical calculations of system observables that are currently impractical.

Main Methods:

  • Development of a new perturbation theory applicable to the Lindblad master equation.
  • Focus on analytical tractability and numerical efficiency.

Main Results:

  • The proposed method provides a viable alternative to computationally intensive exact treatments.
  • It offers a pathway for analytical insights into open quantum system behavior.
  • Enables practical numerical computation of system observables.

Conclusions:

  • The developed perturbation theory significantly advances the study of open quantum systems.
  • It offers a powerful tool for both theoretical analysis and numerical simulations.
  • Overcomes key limitations of current state-of-the-art methods in quantum dynamics.