Partition-free approach to open quantum systems in harmonic environments: An exact stochastic Liouville equation
We present a partition-free approach to the evolution of density matrices for open quantum systems coupled to a harmonic environment. The influence functional formalism combined with a two-time Hubbard-Stratonovich transformation allows us to derive a set of exact differential equations for the redu...
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| Veröffentlicht in: | Physical review. B 2017-03, Vol.95 (12), p.125124, Article 125124 |
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| container_title | Physical review. B |
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| creator | McCaul, G. M. G. Lorenz, C. D. Kantorovich, L. |
| description | We present a partition-free approach to the evolution of density matrices for open quantum systems coupled to a harmonic environment. The influence functional formalism combined with a two-time Hubbard-Stratonovich transformation allows us to derive a set of exact differential equations for the reduced density matrix of an open system, termed the extended stochastic Liouville–von Neumann equation. Our approach generalizes previous work based on Caldeira-Leggett models and a partitioned initial density matrix. This provides a simple, yet exact, closed-form description for the evolution of open systems from equilibriated initial conditions. The applicability of this model and the potential for numerical implementations are also discussed. |
| doi_str_mv | 10.1103/PhysRevB.95.125124 |
| format | Article |
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| source | American Physical Society Journals |
| subjects | Density Differential equations Evolution Initial conditions Liouville equations Open systems Partitions |
| title | Partition-free approach to open quantum systems in harmonic environments: An exact stochastic Liouville equation |
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