| Light-Induced Hofstadter＇s Butterfly Spectrum of Ultracold Atoms on the Two-Dimensional Kagomé Lattice |
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| 引用本文： | 侯净敏.Light-Induced Hofstadter＇s Butterfly Spectrum of Ultracold Atoms on the Two-Dimensional Kagomé Lattice[J].中国物理快报,2009,26(12):95-98. |
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| 作者姓名： | 侯净敏 |
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| 作者单位： | Department of Physics, Southeast University, Nanjing 211189 |
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| 基金项目： | Supported by the Teaching and Research Foundation for the Outstanding Young Faculty of Southeast University. |
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| 摘 要： | We investigate the energy spectrum of ultracold atoms on the two-dimensional Kagomé optical lattice under an effective magnetic field, which can be realized with laser beams. We derive the generalized Harper＇s equations from the Schr？dinger equation. The energy spectrum with a fractal band structure is obtained by numerically solving the generalized Harper＇s equations. We analyze the properties of the Hofstadter＇s butterfly spectrum and discuss its observability.
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| 关 键 词： | 原子光谱 二维 蝴蝶 光诱导 薛定谔方程 美格 塔 分形结构 |
| 收稿时间： | 2009-7-15 |
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