| 具有非线性两模场和原子与场非线性耦合的Jaynes-Cummings模型的解 |
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| 引用本文： | 杨进,安向平,余万伦.具有非线性两模场和原子与场非线性耦合的Jaynes-Cummings模型的解[J].量子光学学报,2008,14(1):19-23. |
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| 作者姓名： | 杨进 安向平 余万伦 |
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| 作者单位： | 成都信息工程学院光电技术系,四川,成都,610041;成都信息工程学院光电技术系,四川,成都,610041;成都信息工程学院光电技术系,四川,成都,610041 |
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| 基金项目： | 四川省自然科学基金，the Scientific Research Foundation of CUlT |
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| 摘 要： | 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.
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| 关 键 词： | 非线性JC模型 不变量方法 精确解 |
| 文章编号： | 1007-6654（2008）01-0019-05 |
| 收稿时间： | 2006-09-01 |
| 修稿时间： | 2006年9月1日 |
Solution to Nonlinear Jaynes-Cummings Models with Nonlinearities of both Two-Mode Field and Atom-Field Interaction |
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| YANG Jin,XIANG An-ping,YU Wan-lun.Solution to Nonlinear Jaynes-Cummings Models with Nonlinearities of both Two-Mode Field and Atom-Field Interaction[J].Acta Sinica Quantum Optica,2008,14(1):19-23. |
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| Authors: | YANG Jin XIANG An-ping YU Wan-lun |
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| Abstract: | We use the Lewis-Riesenfeld invariant and superoperator methods to solve the system of the interaction of a two-level atom with two modes of a quantized field via multiphoton process, including any form of both intensity-dependent interaction and nonlinearity of the two-mode radiation field. The corresponding general atom-field wave function 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. |
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| Keywords: | nonlinear Jaynes-Cummings model invariant operator method exact solution |
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