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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*
作者单位E-mail
徐瑞雪 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  
刘阳 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  
张厚道 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  
严以京* 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 yanyj@ustc.edu.cn 
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DOI:10.1063/1674-0068/30/cjcp1706123
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基金项目:
Theory of Quantum Dissipation in a Class of Non-Gaussian Environments
Rui-xue Xu,Yang Liu,Hou-dao Zhang,YiJing Yan*
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