| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Effective Bose–Hubbard interaction with enhanced nonlinearity in an array of coupled cavities |
| Zhou Ling(周玲)†, Liu Zhong-Ju(刘忠菊), Yan Wei-Bin(闫伟斌), and Mu Qing-Xia(穆青霞) |
| 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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Received: 15 September 2010
Revised: 02 March 2011
Accepted manuscript online:
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PACS:
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42.50.Dv
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(Quantum state engineering and measurements)
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73.43.Nq
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(Quantum phase transitions)
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42.50.Pq
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(Cavity quantum electrodynamics; micromasers)
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Cite this article:
Zhou Ling(周玲), Liu Zhong-Ju(刘忠菊), Yan Wei-Bin(闫伟斌), and Mu Qing-Xia(穆青霞) Effective Bose–Hubbard interaction with enhanced nonlinearity in an array of coupled cavities 2011 Chin. Phys. B 20 074205
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