Effective Bose–Hubbard interaction with enhanced nonlinearity in an array of coupled cavities

doi:10.1088/1674-1056/20/7/074205

中国物理B ›› 2011, Vol. 20 ›› Issue (7): 74205-074205.doi: 10.1088/1674-1056/20/7/074205

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Effective Bose–Hubbard interaction with enhanced nonlinearity in an array of coupled cavities

周玲, 刘忠菊, 闫伟斌, 穆青霞

School of Physics and Optoelectronics Engineering, Dalian University of Technology, Dalian 116024, China

收稿日期:2010-09-15 修回日期:2011-03-02 出版日期:2011-07-15 发布日期:2011-07-15

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

Received:2010-09-15 Revised:2011-03-02 Online:2011-07-15 Published:2011-07-15

摘要/Abstract

摘要： 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.

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.

Key words: nonlinearity, Bose—Hubbard model, quantum phase transition

中图分类号: (Quantum state engineering and measurements)

42.50.Dv

73.43.Nq (Quantum phase transitions) 42.50.Pq (Cavity quantum electrodynamics; micromasers)

周玲, 刘忠菊, 闫伟斌, 穆青霞. Effective Bose–Hubbard interaction with enhanced nonlinearity in an array of coupled cavities[J]. 中国物理B, 2011, 20(7): 74205-074205.

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[J]. Chin. Phys. B, 2011, 20(7): 74205-074205.

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Effective Bose–Hubbard interaction with enhanced nonlinearity in an array of coupled cavities

Effective Bose–Hubbard interaction with enhanced nonlinearity in an array of coupled cavities

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