TY - JOUR
ID - 10.1063/1674-0068/30/cjcp1706123
TI - Theory of Quantum Dissipation in a Class of Non-Gaussian Environments
AU - Rui-xue Xu
AU - Yang Liu
AU - Hou-dao Zhang and YiJing Yan
VL - 30
IS - 4
PB -
SP - 395
EP - 403
PY -
JF - Chinese Journal Of Chemical Physics
JA -
UR - http://cjcp.ustc.edu.cn/hxwlxb_en/ch/reader/view_abstract.aspx?file_no=cjcp1706123&flag=1
KW - Non-Gaussian environment;Quantum dissipation;Dissipaton theory
AB - 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.
ER -