强度有关的多光子Jaynes-Cummings模型的精确解

An Exact Solution for the Intensity-Dependent Multiphoton Jaynes-Cummings Model

基于强度有关的多光子Jaynes Cummings模型SU(2)群结构,用代数方法求得该模型的时间演化算符,并在一个子空间中求得该系统的一个特解和相应的通解.其余空间的解按同样的方法直接得到.最后,讨论了该方法的优点.

Based on the SU(2) group structure of the IntensityDependent Multiphoton JaynesCummings model, we have obtained its timedependent evolution operator by using the algebric method. In a subspace we have got one characteristic solution and the general solutions. The solutions in the other spaces are directly calculated in the same way. Finally, we have pointed out the advantages for the algebraic method.