Tensor network influence functionals for open quantum systems with general Gaussian bosonic baths

• URL: http://arxiv.org/abs/2603.23432v1
• Date: Tue, 24 Mar 2026 17:00:07 GMT
• Title: Tensor network influence functionals for open quantum systems with general Gaussian bosonic baths
• Abstract summary: We introduce a generalization to cases where the system is coupled to a single reservoir through multiple non-commuting operators.<n>We construct a Gaussian influence functional that properly handles Trotter errors arising from a finite evolution time step.<n>As a demonstration, we simulate the time evolution of driven two-level emitters coupled to a bosonic lattice at different lattice sites.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Dynamics of open quantum systems with structured reservoirs can often be simulated efficiently with tensor network influence functionals. The standard variants of the time-evolving matrix product operator (TEMPO) method are applicable when the systems is coupled to Gaussian bosonic baths via hermitian coupling operators that mutually commute. In this work we introduce a generalization to cases where the system is coupled to a single reservoir through multiple non-commuting operators, representing the most general form of linear system-bath coupling. We construct a Gaussian influence functional that properly handles Trotter errors arising from a finite evolution time step, thus ensuring convergence for long evolution times. Based on this result, the uniform TEMPO scheme can be employed to obtain a matrix product operator form of the influence functional, enabling efficient simulations of the real-time dynamics of the open system. As a demonstration, we simulate the time evolution of driven two-level emitters coupled to a bosonic lattice at different lattice sites.

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