基于Jaynes-Cummings模型的SU(2)群结构,用代数方法求得该模型的时间演化算符.作为该解法的应用,精确给出了初始态为|e,n〉情况下系统随时间演化到任一时刻t的状态|ψ(t)〉,并求出了系统初始态为|g,α〉的情况下,系统在任一时刻t处于激发态的几率Pe(t).最后讨论了该解法的优越性.
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