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International Journal of Theoretical Physics

Mott-Insulator-Superfluid Phase Transition with Coupled-Cavity Frequency Conversion System

Zhong Ju Liu, Wenwen Shi, Gui Mei Shi, Wei Jiang

Published Sep 27, 2017• 1 citation
Publisher
DOI
10.1007/s10773-017-3552-y

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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.