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Dissipaton Equation of Motion Theory versus Fokker-Planck Quantum Master Equation
Yang Liu,Rui-xue Xu,Hou-dao Zhang,YiJing Yan*
Author NameAffiliationE-mail
Yang Liu Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and Collaborative Innovation Center of Chemistry for Energy Materials(iChEM), University of Science and Technology of China, Hefei 230026, China  
Rui-xue Xu Hefei National Laboratory for Physical Sciences at the Microscale and Department of Chemical Physics and Collaborative Innovation Center of Chemistry for Energy Materials(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 Collaborative Innovation Center of Chemistry for Energy Materials(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 Collaborative Innovation Center of Chemistry for Energy Materials(iChEM), University of Science and Technology of China, Hefei 230026, China yanyj@ustc.edu.cn 
Abstract:
The quest of exact and nonperturbative methods on quantum dissipation with nonlinear coupling environments remains in general a great challenge. In this review we present a comprehensive account on two approaches to the entangled system-and-environment dynamics, in the presence of linear-plus-quadratic coupling bath. One is the dissipaton-equation-ofmotion (DEOM) theory that has been extended recently to treat the nonlinear coupling environment. Another is the extended Fokker-Planck quantum master equation (FP-QME) approach that will be constructed in this work, based on its DEOM correspondence. We closely compare these two approaches, with the focus on the underlying quasi-particle picture, physical implications, and implementations.
Key words:  Quadratic couping bath  Dissipaton equation of motion  Fokker-Planck quantum master equation  Quantum dissipation theory
FundProject:This work was supported from the Ministry of Science and Technology (No.2016YFA0400900), the National Natural Science Foundation of China (No.21373191, No.21633006, and No.21303090), and the Fundamental Research Funds for the Central Universities (No.2030020028).
耗散子运动方程与福克-普朗克量子主方程
刘阳,徐瑞雪,张厚道,严以京*
摘要:
发展非线性耦合环境下精确、非微扰的量子耗散方法仍然是一个巨大的挑战.本文针对线性和二次耦合热浴模型,介绍了两种刻画系统与环境耦合动力学的有效方法.一个是耗散子运动方程(DEOM)理论,最近已被扩展到处理非线性耦合环境.另一个是推广的福克-普朗克量子主方程(FP-QME)方法,将在这项工作中基于DEOM推导给出.本文对这两种方法进行了详细的比较,并重点介绍了所涉及的准粒子图像、物理含义以及实现方案.
关键词:  二次耦合热浴  耗散子运动方程  福克-普朗克量子主方程  量子耗散理论
DOI:10.1063/1674-0068/31/cjcp1804083
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