Gutzwiller study of spin-1 bosons in an optical lattice under a magnetic field

T. Kimura; S. Tsuchiya; M. Yamashita; S. Kurihara

doi:10.1134/S1054660X07010112

Gutzwiller study of spin-1 bosons in an optical lattice under a magnetic field

T. Kimura, S. Tsuchiya, M. Yamashita, S. Kurihara

Research output: Contribution to journal › Article

Abstract

We study spin-1 bosons in an optical lattice under a magnetic field with the Gutzwiller approximation for the Bose-Hubbard model. Phase boundary curves between superfluids and Mott insulators depend continuously on the magnetic field, and this provides better results than those obtained with the perturbative mean-field approximation. The phase boundary curve as a function of magnetic field has a sharp cusp structure under certain circumstances. In superfluid phases, both the spin magnetizations and fluctuations in the total number of bosons show strong magnetic field dependence, which is related to the fact that both first-and second-order transitions appear on the phase boundary curve according to the magnetic field.

Original language	English
Pages (from-to)	54-59
Number of pages	6
Journal	Laser Physics
Volume	17
Issue number	1
DOIs	https://doi.org/10.1134/S1054660X07010112
Publication status	Published - 2007 Jan

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ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Physics and Astronomy (miscellaneous)

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Kimura, T., Tsuchiya, S., Yamashita, M., & Kurihara, S. (2007). Gutzwiller study of spin-1 bosons in an optical lattice under a magnetic field. Laser Physics, 17(1), 54-59. https://doi.org/10.1134/S1054660X07010112

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AB - We study spin-1 bosons in an optical lattice under a magnetic field with the Gutzwiller approximation for the Bose-Hubbard model. Phase boundary curves between superfluids and Mott insulators depend continuously on the magnetic field, and this provides better results than those obtained with the perturbative mean-field approximation. The phase boundary curve as a function of magnetic field has a sharp cusp structure under certain circumstances. In superfluid phases, both the spin magnetizations and fluctuations in the total number of bosons show strong magnetic field dependence, which is related to the fact that both first-and second-order transitions appear on the phase boundary curve according to the magnetic field.

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10.1134/S1054660X07010112