| Berry phase in a generalized nonlinear two-level system |
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| 引用本文： | 刘继兵,李家华,宋佩君,李伟斌. Berry phase in a generalized nonlinear two-level system[J]. 中国物理 B, 2008, 17(1): 38-42 |
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| 作者姓名： | 刘继兵 李家华 宋佩君 李伟斌 |
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| 作者单位： | Department of Physics, Huazhong University of Science andTechnology, Wuhan 430074, China;Department of Physics, Huazhong University of Science andTechnology, Wuhan 430074, China;Department of Physics, Huazhong University of Science andTechnology, Wuhan 430074, China;Wuhan Institute of Physics and Mathematics, ChineseAcademy of Sciences, Wuhan 430071, China |
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| 基金项目： | Projectsupported partially by the National Natural Science Foundation ofChina (Grant Nos10575040 and 10634060). |
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| 摘 要： | In this paper, we investigate the behaviour of the geometric phase of a more generalized nonlinear system composed of an effective two-level system interacting with a single-mode quantized cavity field. Both the field nonlinearity and the atom-field coupling nonlinearity are considered. We find that the geometric phase depends on whether the index k is an odd number or an even number in the resonant case. In addition, we also find that the geometric phase may be easily observed when the field nonlinearity is not considered. The fractional statistical phenomenon appears in this system if the strong nonlinear atom-field coupling is considered. We have also investigated the geometric phase of an effective two-level system interacting with a two-mode quantized cavity field.
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| 关 键 词： | 几何相位 非线性系统 原子领域 原子耦合 |
| 收稿时间： | 2007-04-03 |
| 修稿时间： | 2007-08-02 |
Berry phase in a generalized nonlinear two-level system |
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| Liu Ji-Bing,Li Jia-Hu,Song Pei-Jun and Li Wei-Bin. Berry phase in a generalized nonlinear two-level system[J]. Chinese Physics B, 2008, 17(1): 38-42 |
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| Authors: | Liu Ji-Bing Li Jia-Hu Song Pei-Jun Li Wei-Bin |
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| Affiliation: | Department of Physics, Huazhong University of Science andTechnology, Wuhan 430074, China; Wuhan Institute of Physics and Mathematics, ChineseAcademy of Sciences, Wuhan 430071, China |
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| Abstract: | In this paper, we investigate the behaviour of the geometric phaseof a more generalized nonlinear system composed of an effectivetwo-level system interacting with a single-mode quantized cavityfield. Both the field nonlinearity and the atom--field couplingnonlinearity are considered. We find that the geometric phasedepends on whether the index $k$ is an odd number or an even numberin the resonant case. In addition, we also find that the geometric phase may be easily observed when the field nonlinearity is not considered. The fractional statistical phenomenon appears inthis system if the strong nonlinear atom--field coupling isconsidered. We have also investigated the geometric phase of aneffective two-level system interacting with a two-mode quantizedcavity field. |
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| Keywords: | geometric phase nonlinearsystem atom--field coupling |
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