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We developed a new numerical method for simulating open quantum systems using the discrete truncated Wigner approximation. This approach accurately captures critical fluctuations in models like the dissipative Ising model.

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Area of Science:

  • Quantum physics
  • Computational physics
  • Many-body systems

Background:

  • Simulating open quantum many-body systems is computationally challenging.
  • Existing methods often struggle to capture critical fluctuations accurately.
  • The discrete truncated Wigner approximation offers a semiclassical approach.

Purpose of the Study:

  • To develop a novel numerical simulation approach for open quantum many-body systems.
  • To integrate a quantum jump formalism with the discrete truncated Wigner approximation.
  • To accurately capture system dynamics and critical fluctuations.

Main Methods:

  • Utilized the semiclassical framework of the discrete truncated Wigner approximation.
  • Established a quantum jump formalism to integrate the quantum master equation.
  • Applied the method to the paradigmatic dissipative Ising model.

Main Results:

  • The developed method is exact in the noninteracting and classical rate equation limits.
  • Successfully captured critical fluctuations beyond mean-field theory for the dissipative Ising model.
  • Demonstrated the efficacy of the quantum jump formalism within the semiclassical framework.

Conclusions:

  • The proposed approach provides an accurate and efficient method for simulating open quantum many-body systems.
  • This technique advances the study of quantum systems with dissipation and critical phenomena.
  • Offers a pathway to explore complex quantum dynamics with enhanced accuracy.