Path-Integral Formulation of Truncated Wigner Approximation for Bosonic Markovian Open Quantum Systems

• URL: http://arxiv.org/abs/2405.11173v1
• Date: Sat, 18 May 2024 04:27:32 GMT
• Title: Path-Integral Formulation of Truncated Wigner Approximation for Bosonic Markovian Open Quantum Systems
• Authors: Toma Yoneya, Kazuya Fujimoto, Yuki Kawaguchi,
• Abstract summary: The Wigner approximation (TWA) enables us to calculate bosonic quantum many-body dynamics while accounting for the effects of quantum fluctuations. We numerically confirm that the time evolution of physical quantities and the non-equal time correlation functions obtained in our formulation agree well with the exact ones in the numerically solvable models.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The truncated Wigner approximation (TWA) enables us to calculate bosonic quantum many-body dynamics while accounting for the effects of quantum fluctuations. In this work, we formulate the TWA for bosonic Markovian open quantum systems described by the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) equation from the coherent-state path-integral approach using the Wigner function. We derive an analytical expression for the GKSL equation in the TWA where we consider a bosonic system with an arbitrary Hamiltonian with jump operators that do not couple different states. We numerically confirm that the time evolution of physical quantities and the non-equal time correlation functions obtained in our formulation agree well with the exact ones in the numerically solvable models.

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