J4 ›› 2012, Vol. 29 ›› Issue (6): 729-734.

• 量子光学 • 上一篇    下一篇

Jaynes-Cummings模型的一种精确代数解法

何锐   

  1. 皖西学院材料与化工学院, 安徽 六安 237012
  • 收稿日期:2011-12-08 修回日期:2012-01-14 出版日期:2012-11-28 发布日期:2014-03-20
  • 通讯作者: 何锐(1974-),安徽六安人,硕士,实验师,研究方向为量子光学与量子信息。 E-mail:jrql@yahoo.cn

An exact algebric solution of Jaynes-Cummings model

HE Rui   

  1. College of Material and Chemical Engineering, West Anhui University, Luan 237012, China
  • Received:2011-12-08 Revised:2012-01-14 Published:2012-11-28 Online:2014-03-20

摘要:

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原稿中此处为“,”修改稿中加上“。作为该解法的应用”。作为该解法的应用,精确给出了初始态为 的情况下系统随时间演化到任一时刻 的状态 ,并求出了系统初始态为 的情况下,系统在任一时刻 处于激发态的几率 。最后讨论了该解法的优越性。

关键词: 量子光学, Jaynes-Cummings模型, SU(2)群结构, 时间演化算符

Abstract:

Based on the SU(2) group structure of the Jaynes-Cummings model, we have obtained its time evolution operator by using the algebraic method. As an application of the solution, the exact result of the state of the system evoluting with time at any given time in the condition that the initial state of the system is was given. Then, the probability of finding the atom in excited state at time was obtained in the condition that the initial state of the system is . The superiority of the solution was discussed lastly.

Key words: quantum optics, Jaynes-Cummings model, SU(2) group structure, time evolution operator

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