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This study introduces pseudo-Lindblad quantum trajectory (PLQT) unraveling for simulating open quantum systems beyond weak coupling. PLQT overcomes limitations of the Monte Carlo wave function approach for non-Gorini-Kossakowski-Sudarshan-Lindblad dynamics.

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Area of Science:

  • Quantum physics
  • Computational physics
  • Quantum information science

Background:

  • Efficient simulation of open quantum systems is crucial.
  • The Monte Carlo wave function approach is standard for Markovian dynamics using Gorini-Kossakowski-Sudarshan-Lindblad equations.
  • Non-Markovian dynamics or strong coupling require alternative methods due to limitations of standard approaches.

Purpose of the Study:

  • To develop a novel method for simulating open quantum systems beyond the Markovian regime.
  • To overcome the limitations of existing quantum trajectory methods when dealing with non-Gorini-Kossakowski-Sudarshan-Lindblad dynamics, such as those described by the Redfield equation.
  • To introduce a computationally efficient approach that does not require state space extension.

Main Methods:

  • Proposed a pseudo-Lindblad quantum trajectory (PLQT) unraveling method.
  • PLQT handles dynamics described by pseudo-Lindblad forms, including those arising from the Redfield equation.
  • The method requires only the addition of a single classical bit, avoiding complex state space extensions.

Main Results:

  • Demonstrated the effectiveness of PLQT for simulating the eternal non-Markovian master equation.
  • Tested PLQT on a single qubit system and an interacting Fermi-Hubbard chain coupled to a thermal bath.
  • Analyzed the computational cost of PLQT in comparison to solving the full master equation.

Conclusions:

  • Pseudo-Lindblad quantum trajectory unraveling is a viable and efficient method for simulating open quantum systems with non-Markovian dynamics.
  • PLQT offers a significant advantage over conventional methods when negative dissipation strengths arise.
  • The approach is computationally feasible and applicable to complex quantum systems.