量子光学学报
量子光學學報
양자광학학보
ACTA SINICA QUANTUM OPTICA
2008年
1期
19-23
,共5页
非线性JC模型%不变量方法%精确解
非線性JC模型%不變量方法%精確解
비선성JC모형%불변량방법%정학해
nonlinear Jaynes-Cummings model%invariant operator method%exact solution
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.
利用Lewis和Riesenfeld不變量方法求解瞭具有任意非線性場和依賴任意彊度耦閤的多光子雙模場與二能級原子相互作用的JC模型,得到原子一光場的態矢、時間縯化算符、原子佈居和雙模場的光子數算符的縯化式.
이용Lewis화Riesenfeld불변량방법구해료구유임의비선성장화의뢰임의강도우합적다광자쌍모장여이능급원자상호작용적JC모형,득도원자일광장적태시、시간연화산부、원자포거화쌍모장적광자수산부적연화식.
We use the Lewis-Riesenfeld invariant and superoperator methods to solve the svstern of the interaction of a two-level atom with two modes of a quantized field via multiphoton process. including any form of both intensity-de-pendent interaction and nonlinearity of the two-mode radiation field. The corresponding general atom-field wave func-tion 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.