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arXiv:1107.1314 [cond-mat.quant-gas]AbstractReferencesReviewsResources

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

A. Rancon, N. Dupuis

Published 2011-07-07, updated 2011-10-19Version 2

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({\mu},T) versus chemical potential and temperature is similar to that of a dilute Bose gas but with renormalized mass m^* and scattering length a^*. 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.

Comments: v1) 4 pages, 6 figures. v2) Significant rewriting (new title) with more emphasis on the quantum critical behavior near the Mott transition
Journal: Phys. Rev. A 85, 011602(R) (2012)
Categories: cond-mat.quant-gas
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