Mott-Hubbard transition of bosons in optical lattices with two-body interactions

  • In this paper, based on the Bose-Hubbard model with two-body on-site interactions, we study the quantum phase transition between the superfluid state and the Mott-insulator state. With the decoupling approximation, we get the relation between the weak superfluidity and dimensionless chemical potential with different particle number and different dimensionless interaction strength, and the relation between the weak superfluidity and the reciprocal of dimensionless interaction strength with different particle number. We also calculate the corresponding experimental parameters.
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YAN Hua-Hua, MA Qing-Shan and ZHANG Jun. Mott-Hubbard transition of bosons in optical lattices with two-body interactions[J]. Chinese Physics C, 2011, 35(6): 530-534. doi: 10.1088/1674-1137/35/6/003
YAN Hua-Hua, MA Qing-Shan and ZHANG Jun. Mott-Hubbard transition of bosons in optical lattices with two-body interactions[J]. Chinese Physics C, 2011, 35(6): 530-534.  doi: 10.1088/1674-1137/35/6/003 shu
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Received: 2010-09-16
Revised: 2010-10-24
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Mott-Hubbard transition of bosons in optical lattices with two-body interactions

Abstract: In this paper, based on the Bose-Hubbard model with two-body on-site interactions, we study the quantum phase transition between the superfluid state and the Mott-insulator state. With the decoupling approximation, we get the relation between the weak superfluidity and dimensionless chemical potential with different particle number and different dimensionless interaction strength, and the relation between the weak superfluidity and the reciprocal of dimensionless interaction strength with different particle number. We also calculate the corresponding experimental parameters.

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