Bose-Hubbard phase diagram with arbitrary integer filling

Details Bose-Hubbard phase diagram with arbitrary integer filling Bose-Hubbard phase diagram with arbitrary integer filling

2008-10-03

arxiv.org/abs/0810.0643v2

Phys. Rev. B 79, 100503(R) (2009)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevB.79.100503

We study the transition from a Mott insulator to a superfluid in both the two- and the three-dimensional Bose-Hubbard model at zero temperature, employing the method of the effective potential. Converting Kato's perturbation series into an algorithm capable of reaching high orders, we obtain accurate critical parameters for any integer filling factor. Our technique allows us to monitor both the approach to the mean-field limit by considering spatial dimensionalities $d > 3$, and to the quantum rotor limit of high filling, which refers to an array of Josephson junctions.

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