具有非线性两模场和原子与场非线性耦合的Jaynes-Cummings模型的解(英文)  

Solution to Nonlinear Jaynes-Cummings Models with Nonlinearities of both Two-Mode Field and Atom-Field Interaction

作　　者：杨进[1] 安向平[1] 余万伦[1] 

机构地区：[1]成都信息工程学院光电技术系,四川成都610041

出　　处：《量子光学学报》2008年第1期19-23,共5页Journal of Quantum Optics

基　　金：四川省教育厅自然科学基金(2004A156);成都信息工程学院科技发展基金(CSRF200404)~~

摘　　要：利用Lewis和Riesenfeld不变量方法求解了具有任意非线性场和依赖任意强度耦合的多光子双模场与二能级原子相互作用的JC模型,得到原子一光场的态矢、时间演化算符、原子布居和双模场的光子数算符的演化式。We use the Lewis-Riesenfeld invariant and superoperator methods to solve the system of the interaction of a two-level atom with two modes of a quantized field via multiphoton process, including any form of both intensity-dependent interaction and nonlinearity of the two-mode radiation field. The corresponding general atom-field wave function and time evolution operator as well as the time-evolving expressions for both the atomic inversion and the photon numbers of two modes field are evaluated.

关 键 词：非线性JC模型 不变量方法 精确解 

分 类 号：O431[机械工程—光学工程]