Theory of Quantum Dissipation in a Class of Non-Gaussian Environments  

一类非高斯环境的量子耗散理论

作　　者：徐瑞雪[1] 刘阳[1] 张厚道[1] 严以京[1] 

机构地区：[1]中国科学技术大学化学物理系,合肥微尺度物质科学国家实验室(筹),量子信息与量子科技前沿协同创新中心,能源材料化学协同创新中心,合肥230026

出　　处：《Chinese Journal of Chemical Physics》2017年第4期395-403,I0001,共10页化学物理学报（英文）

基　　金：This work was supported by the Ministry of Science and Technology of China （No.2017YFA0204904 and No.2016YFA0400904）, the National Natural Science Foundation of China （No.21633006 and No.21373191）, and the Fundamental Research Funds for Central Universities （No.2030020028）.

摘　　要：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.

关 键 词：Non-Gaussian environment Quantum dissipation Dissipaton theory 

分 类 号：O[理学]