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Auxiliary open quantum system for the Floquet quantum master equation.

Fei Liu1

  • 1School of Physics, Beihang University, Beijing 100191, China.

Physical Review. E
|March 19, 2021
PubMed
Summary

Researchers developed a new method using quantum trajectories to simulate complex quantum systems. This auxiliary system accurately reproduces the dynamics of periodically driven open quantum systems over time.

Area of Science:

  • Quantum physics
  • Quantum information science

Background:

  • Periodically driven open quantum systems exhibit complex dynamics.
  • Simulating these systems is crucial for quantum technologies.
  • Existing methods may face computational challenges.

Purpose of the Study:

  • To construct an auxiliary open quantum system for simulating periodically driven systems.
  • To ensure the auxiliary system's quantum trajectory ensemble matches the original system's.
  • To analyze the long-time dynamics and coherent evolution.

Main Methods:

  • Directly utilizing probability formulas of quantum trajectories.
  • Developing an auxiliary open quantum system.
  • Governing dynamics with the Floquet quantum master equation.

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  • Employing a periodically driven two-level quantum system as an example.

    • Main Results:

    • The auxiliary system generates a consistent quantum trajectory ensemble.
    • Modified Lindblad operators are observed in the auxiliary system.
    • The coherent dynamics of the auxiliary system replicate the original system at long times.
    • The construction is validated using a two-level system.

    Conclusions:

    • The proposed auxiliary system provides an effective method for simulating periodically driven open quantum systems.
    • This approach simplifies the analysis of complex quantum dynamics.
    • The findings have implications for quantum computing and quantum simulation.