Partition-free approach to open quantum systems in harmonic environments: An exact stochastic Liouville equation

Article

关键词: GENERALIZED LANGEVIN EQUATION;    DYNAMICS;    MECHANICS;    MEMORY;   

DOI  :  10.1103/PhysRevB.95.125124

来源: SCIE

【 摘 要 】

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.

【 授权许可】

Free