Bose-Hubbard phase diagram with arbitrary integer filling
Niklas TeichmannInstitut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, GermanyDennis HinrichsInstitut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, GermanyMartin HolthausInstitut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, GermanyAndré EckardtInstitut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, Germany
2009en
ABI
Abstract
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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