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Theory of Quantum Dissipation in a Class of Non-Gaussian Environments
Rui-xue Xu,Yang Liu,Hou-dao Zhang,YiJing Yan*
Author NameAffiliationE-mail
Rui-xue Xu Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and Synergetic Innovation Center of Quantum Information and Quantum Physics and iChEM, University of Science and Technology of China, Hefei 230026, China  
Yang Liu Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and Synergetic Innovation Center of Quantum Information and Quantum Physics and iChEM, University of Science and Technology of China, Hefei 230026, China  
Hou-dao Zhang Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and Synergetic Innovation Center of Quantum Information and Quantum Physics and iChEM, University of Science and Technology of China, Hefei 230026, China  
YiJing Yan* Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and Synergetic Innovation Center of Quantum Information and Quantum Physics and iChEM, University of Science and Technology of China, Hefei 230026, China yanyj@ustc.edu.cn 
Abstract:
In this work we construct a novel dissipaton-equation-of-motion (DEOM) theory in quadratic bath coupling environment, based on an extended algebraic statistical quasi-particle approach. To validate the new ingredient of the underlying dissipaton algebra, we derive an extended Zusman equation via a totally different approach. We prove that the new theory, if it starts with the identical setup, constitutes the dynamical resolutions to the extended Zusman equation. Thus, we verify the generalized (non-Gaussian) Wick's theorem with dissipatons-pair added. This new algebraic ingredient enables the dissipaton approach being naturally extended to nonlinear coupling environments. Moreover, it is noticed that, unlike the linear bath coupling case, the influence of a non-Gaussian environment cannot be completely characterized with the linear response theory. The new theory has to take this fact into account. The developed DEOM theory manifests the dynamical interplay between dissipatons and nonlinear bath coupling descriptors that will be specified. Numerical demonstrations will be given with the optical line shapes in quadratic coupling environment.
Key words:  Non-Gaussian environment  Quantum dissipation  Dissipaton theory
FundProject:
一类非高斯环境的量子耗散理论
徐瑞雪,刘阳,张厚道,严以京*
摘要:
关键词:  
DOI:10.1063/1674-0068/30/cjcp1706123
分类号: