| Energy spectrum of fermionized bosonic atoms in optical lattices |
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| 作者姓名： | 韩玖荣 张海潮 王育竹 |
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| 作者单位： | Department of Physics Yangzhou University Yangzhou 225002 Laboratory for Quantum Optics Shanghai Institute of Optics and Fine Mechanics，Center for Cold Atom Physics Chinese Academy of Sciences Shanghai 201800，Laboratory for Quantum Optics Shanghai Institute of Optics and Fine Mechanics，Center for Cold Atom Physics Chinese Academy of Sciences Shanghai 201800，Laboratory for Quantum Optics Shanghai Institute of Optics and Fine Mechanics Center for Cold Atom Physics Chinese Academy of Sciences Shanghai 201800 |
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| 基金项目： | This work was supported by National Fundamental Research Program of China (No. 2001CB309307)
the Knowledge Innovation Program of Chinese Academy of Sciences, and the National Natural Science Foundation of China (No. 10474105). |
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| 摘 要： | We investigate the energy spectrum of fermionized bosonic atoms, which behave very much like spinless noninteracting fermions, in optical lattices by means of the perturbation expansion and the retarded Green's function method. The results show that the energy spectrum splits into two energy bands with single-occupation; the fermionized bosonic atom occupies nonvanishing energy state and left hole has a vanishing energy at any given momentum, and the system is in Mott-insulating state with a energy gap. Using the characteristic of energy spectra we obtained a criterion with which one can judge whether the Tonks-Girardeau (TG) gas is achieved or not.
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