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Quantum criticality of a Bose gas in an optical lattice near the Mott transition

A. Rançon and N. Dupuis
Phys. Rev. A 85, 011602(R) – Published 4 January 2012

Abstract

We derive the equation of state of bosons in an optical lattice in the framework of the Bose-Hubbard model. Near the density-driven Mott transition, the expression of the pressure P(μ,T) versus chemical potential and temperature is similar to that of a dilute Bose gas but with renormalized mass m* and scattering length a*. Here m* is the mass of the elementary excitations at the quantum critical point governing the transition from the superfluid phase to the Mott-insulating phase, while a* is related to their effective interaction at low energy. We use a nonperturbative renormalization-group approach to compute these parameters as a function of the ratio t/U between hopping amplitude and on-site repulsion.

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  • Received 8 July 2011

DOI:https://doi.org/10.1103/PhysRevA.85.011602

©2012 American Physical Society

Authors & Affiliations

A. Rançon and N. Dupuis

  • Laboratoire de Physique Théorique de la Matière Condensée, CNRS UMR 7600, Université Pierre et Marie Curie, 4 Place Jussieu, F-75252 Paris Cedex 05, France

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Vol. 85, Iss. 1 — January 2012

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