物理学报2012，Vol.61Issue(21)：31-35,5.
利用热纠缠态表象获得Caldeira-Leggett密度算符方程的积分形式解
Integral-form solution of the Caldeira-Leggett density operator equation obtained by virtue of thermo entangled state reoresentation
叶骞 1陈千帆 2范洪义2
作者信息
- 1. 中国科学技术大学近代物理系,合肥230026
- 2. 中国科学技术大学材料科学与工程系,合肥230026
- 折叠
摘要
Abstract
Open quantum system, namely system-reservoir model, is described by a master equation of density operator. For example, the Caldeira-Leggett eqaution describes dissipative phenomenon of solid physics. Although some efforts have been made to derive the exact expression of this master equation, so far as we know, it has not been reported in the literature. The purpose of this paper is to provide a new approach to solving the Caldeira-Leggett equation, via this approach the explicit integral-form expression of ρ(t) can be obtained. The main point of this approach is to convert equation of density operator into an equation of density state vector, and then project density state vector into thermo entangled state representation and convert it into wave function by using the technique of integration within an ordered product of operators. Thus the master equation for Caldeira-Leggett model is converted into an differential equation of wave function. Wave function is also a function. The wave function can be obtained via the approach to solving the differential equation in mathematics. It can be converted into a density state vector and density operator. Using the technique of integration within an ordered product of operators again, the integra-form solution of the Caldeira-Leggett equation is obtained.关键词
热纠缠态表象/Caldeira-Leggett模型主方程/密度算符/有序算符内积分技术Key words
thermoentangled state representation/the master equation for Caldeira-Leggett model/densityoperator/the technique of integration within an ordered product of operators分类
数理科学引用本文复制引用
叶骞,陈千帆,范洪义..利用热纠缠态表象获得Caldeira-Leggett密度算符方程的积分形式解[J].物理学报,2012,61(21):31-35,5.
