Bose-Hubbard phase diagram with arbitrary integer filling

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.

4 pages, 4 figures

References in corpus (2)

• Many-Body Physics with Ultracold Gases
• Spatial correlations of trapped 1d bosons in an optical lattice

Cited by in corpus (5)

• Strong coupling theory for the Jaynes-Cummings-Hubbard model
• Strong-coupling expansion for the momentum distribution of the Bose Hubbard model with benchmarking against exact numerical results
• Process chain approach to the Bose-Hubbard model: Ground-state properties and phase diagram
• Superfluid to Mott-insulator transition of hardcore bosons in a superlattice
• Process chain approach to high-order perturbation calculus for quantum lattice models