论文标题
带有非线性环境反向分离的开放量子系统：扩展的消散理论与核心系统层次结构结构
Open quantum systems with nonlinear environmental backactions: Extended dissipaton theory versus core-system hierarchy construction
论文作者
论文摘要
在本文中，我们通过二次环境耦合介绍了量子耗散理论的全面说明。理论发展包括嵌入式层次量子主方程的布朗溶剂化模式，这是一种核心系统的层次结构，验证了扩展的消散运动方程（DEOM）形式主义[R. X. Xu等，J。Chem。物理。 148，114103（2018）]。开发的也是针对非平衡热力学问题的平衡和λ（t） - deom的二次假想时间。著名的Jarzynski平等和骗子的关系都准确地再现了，这反过来又证实了扩展的DEOM理论的严格性。虽然扩展的DEOM在数值上更有效，但核心系统层次结构量子主方程有利于“可视化”相关的溶剂化动力学。
In this paper, we present a comprehensive account of quantum dissipation theories with the quadratic environment couplings. The theoretical development includes the Brownian solvation mode embedded hierarchical quantum master equations, a core-system hierarchy construction that verifies the extended dissipaton equation of motion (DEOM) formalism [R. X. Xu et al., J. Chem. Phys. 148, 114103 (2018)]. Developed are also the quadratic imaginary-time DEOM for equilibrium and the λ (t)-DEOM for nonequilibrium thermodynamics problems. Both the celebrated Jarzynski equality and Crooks relation are accurately reproduced, which in turn confirms the rigorousness of the extended DEOM theories. While the extended DEOM is more numerically efficient, the core-system hierarchy quantum master equation is favorable for ''visualizing'' the correlated solvation dynamics.
