Path integral formalism of open quantum systems with non-diagonal system-bath coupling  

作　　者：Ruofan Chen 

机构地区：[1]College of Physics and Electronic Engineering,and Center for Computational Sciences,Sichuan Normal University,Chengdu 610068,China

出　　处：《Communications in Theoretical Physics》2024年第11期145-150,共6页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.12104328;the Sichuan Science and Technology Program under Grant No.2024NSFSC1388。

摘　　要：Most path integral expressions for quantum open systems are formulated with diagonal systembath coupling,where the influence functional is a functional of scalar-valued trajectories.This formalism is enough if only a single bath is under consideration.However,when multiple baths are present,non-diagonal system-bath couplings need to be taken into consideration.In such a situation,using an abstract Liouvillian method,the influence functional can be obtained as a functional of operator-valued trajectories.The value of the influence functional itself also becomes a superoperator rather than an ordinary scalar,whose meaning is ambiguous at first glance and its connection to the conventional understanding of the influence functional needs extra careful consideration.In this article,we present another concrete derivation of the superoperator-valued influence functional based on the straightforward Trotter-Suzuki splitting,which can provide a clear picture to interpret the superoperator-valued influence functional.

关 键 词：path integral non-additive enviroments Caldeira-Leggett model 

分 类 号：O413[理学—理论物理]