Deriving a kinetic uncertainty relation for piecewise deterministic processes:from classical to quantum  

作　　者：Fei Liu 

机构地区：[1]School of Physics,Beihang University,Beijing 100191,China

出　　处：《Communications in Theoretical Physics》2021年第12期149-158,共10页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.12075016,No.11575016。

摘　　要：From the perspective of Markovian piecewise deterministic processes(PDPs),we investigate the derivation of a kinetic uncertainty relation(KUR),which was originally proposed in Markovian open quantum systems.First,stationary distributions of classical PDPs are explicitly constructed.Then,a tilting method is used to derive a rate functional of large deviations.Finally,based on an improved approximation scheme,we recover the KUR.These classical results are directly extended to the open quantum systems.We use a driven two-level quantum system to exemplify the quantum results.

关 键 词：Nonequilibrium fluctuations kinetic uncertainty relations large deviation principle open quantum systems piecewise deterministic processes TRAJECTORY 

分 类 号：O413[理学—理论物理]