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Bose-Hubbard phase diagram with arbitrary integer filling

Niklas Teichmann, Dennis Hinrichs, Martin Holthaus, and André Eckardt
Phys. Rev. B 79, 100503(R) – Published 6 March 2009

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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  • Received 16 January 2009

DOI:https://doi.org/10.1103/PhysRevB.79.100503

©2009 American Physical Society

Authors & Affiliations

Niklas Teichmann*, Dennis Hinrichs, and Martin Holthaus

  • Institut für Physik, Carl von Ossietzky Universität, D-26111 Oldenburg, Germany

André Eckardt

  • Institut de Ciències Fotòniques (ICFO), E-08860 Castelldefels (Barcelona), Spain

  • *teichmann@theorie.physik.uni-oldenburg.de

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Issue

Vol. 79, Iss. 10 — 1 March 2009

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