Effective Boseben Hubbard interaction with enhanced nonlinearity in an array of coupled cavities |
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| Authors: | Zhou Ling Liu Zhong-Ju Yan Wei-Bin Mu Qing-Xia |
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| Affiliation: | School of Physics and Optoelectronics Engineering, Dalian University of Technology, Dalian 116024, China;School of Physics and Optoelectronics Engineering, Dalian University of Technology, Dalian 116024, China;School of Physics and Optoelectronics Engineering, Dalian University of Technology, Dalian 116024, China;School of Physics and Optoelectronics Engineering, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | An array of coupled cavities, each of which contains an N four-level atom, is investigated. When cavity fields dispersively interact with the atoms, an effective Bose—Hubbard model can be achieved. By numerically comparing the full Hamiltonian with the effective one, we find that within the parameters region, the effective Hamiltonian can completely account for the Mott-insulator as well as the phase transition from the similar Mott-insulator to superfluid. Through jointly adjusting the classical Rabi frequency and the detuning, the nonlinearity can be improved. |
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| Keywords: | nonlinearity Bose—Hubbard model quantum phase transition |
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