Dissipaton equation of motion for system-and-bath interference dynamics  

作　　者：Rui-Xue Xu Hou-Dao Zhang Xiao Zheng Yijing Yan 

机构地区：[1]Hefei National Laboratory for Physical Sciences at the Microscale,Synergetic Innovation Center of Quantum Information and Quantum Physics,University of Science and Technology of China [2]Department of Chemistry, Hong Kong University of Science and Technology [3]Hefei National Laboratory for Physical Sciences at the Microscale, Collaborative Innovation Center of Chemistry for Energy Materials,University of Science and Technology of China

出　　处：《Science China(Information Sciences)》2015年第12期1816-1824,共9页中国科学（信息科学）（英文版）

基　　金：the National Natural Science Foundation of China(21373191;21303175;21322305;and 21233007);the Hong Kong University Grants Committee(Ao E/P-04/08-2)

摘　　要：In this review we give a comprehensive account on the dissipaton equation of motion（DEOM） approach to quantum mechanics of open systems. This approach provides a statistical quasi-particle（dissipaton） picture for the environment, as it participates in the correlated system-and-bath dynamics. The underlying dissipaton algebra is de facto established via a close comparison with the celebrated hierarchical equations of motion formalism that is rooted at the Feynman-Vernon influence functional path integral formalism. As a quasi-particle generalization, DEOM identifies unambiguously the physical meanings of all involving dynamical variables as many-dissipaton configurations. It addresses the dynamics of not only systems but also hybridizing bath degrees of freedom. We demonstrate these features of DEOM via its real-time evaluation of the Fano interference of an analytically solvable model system, with the highlight that the statistical quasi-particle picture is ubiquitous, implied even in those commonly used quantum master equations.In this review we give a comprehensive account on the dissipaton equation of motion（DEOM） approach to quantum mechanics of open systems. This approach provides a statistical quasi-particle（dissipaton） picture for the environment, as it participates in the correlated system-and-bath dynamics. The underlying dissipaton algebra is de facto established via a close comparison with the celebrated hierarchical equations of motion formalism that is rooted at the Feynman-Vernon influence functional path integral formalism. As a quasi-particle generalization, DEOM identifies unambiguously the physical meanings of all involving dynamical variables as many-dissipaton configurations. It addresses the dynamics of not only systems but also hybridizing bath degrees of freedom. We demonstrate these features of DEOM via its real-time evaluation of the Fano interference of an analytically solvable model system, with the highlight that the statistical quasi-particle picture is ubiquitous, implied even in those commonly used quantum master equations.

关 键 词：quantum dissipation dissipaton equation of motion correlated system-and-bath dynamics Fano interference 

分 类 号：O316[理学—一般力学与力学基础] N941.3[理学—力学]