Nonperturbative Treatment of non-Markovian Dynamics of Open Quantum Systems

被引:159
作者
Tamascelli, D. [1 ,2 ]
Smirne, A. [2 ]
Huelga, S. F. [2 ]
Plenio, M. B. [2 ]
机构
[1] Univ Milan, Dipartimento Fis, Via Celoria 16, I-20133 Milan, Italy
[2] Univ Ulm, Inst Theoret Phys, Albert Einstein Allee 11, D-89069 Ulm, Germany
关键词
SEMIGROUPS; RADIATION; BIOLOGY; DRIVEN; CAVITY; MODEL;
D O I
10.1103/PhysRevLett.120.030402
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We identify the conditions that guarantee equivalence of the reduced dynamics of an open quantum system (OQS) for two different types of environments-one a continuous bosonic environment leading to a unitary system-environment evolution and the other a discrete-mode bosonic environment resulting in a system-mode (nonunitary) Lindbladian evolution. Assuming initial Gaussian states for the environments, we prove that the two OQS dynamics are equivalent if both the expectation values and two-time correlation functions of the environmental interaction operators are the same at all times for the two configurations. Since the numerical and analytical description of a discrete-mode environment undergoing a Lindbladian evolution is significantly more efficient than that of a continuous bosonic environment in a unitary evolution, our result represents a powerful, nonperturbative tool to describe complex and possibly highly non-Markovian dynamics. As a special application, we recover and generalize the well-known pseudomodes approach to open-system dynamics.
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页数:6
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