姚绍辉,熊兆华

• 1:北京工业大学物理与光电工程学院

摘要(Abstract)：

杰恩斯-卡明斯(Jaynes-Cummings, JC)模型是光与物质相互作用最基础的模型之一。本文首先推导了JC模型时间演化算符在光场与二能级原子共振时的显式表达式。在此基础上，我们计算出了初始时刻二能级原子处于两个能量本征态叠加态，而光场分别处于三个光子数态叠加态与相干态时，系统状态和原子各能级布居数随时间演化的解析表达式。最后，本文还介绍了Python中一个对于量子力学模拟和数值求解非常有用的扩展库QuTiP,并利用它对这个模型的时间演化进行数值求解，得到与解析解一致的结果。这些计算过程在科学研究和大学物理教学上都有重要意义。

关键词(KeyWords)： 量子光学;JC模型;时间演化;数值计算

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目(项目编号：12475104)

作者(Author): 姚绍辉,熊兆华

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