Quantum XY criticality in a two-dimensional Bose gas near the Mott transition

We derive the equation of state of a two-dimensional Bose gas in an optical lattice in the framework of the Bose-Hubbard model. We focus on the vicinity of the multicritical points where the quantum phase transition between the Mott insulator and the superfluid phase occurs at fixed density and belo...

Full description

Saved in:
Bibliographic Details
Published in:Europhysics letters 2013-10, Vol.104 (1), p.16002
Main Authors: Rançon, A., Dupuis, N.
Format: Article
Language:English
Subjects:
05.30.Jp
05.30.Rt
67.85.-d
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We derive the equation of state of a two-dimensional Bose gas in an optical lattice in the framework of the Bose-Hubbard model. We focus on the vicinity of the multicritical points where the quantum phase transition between the Mott insulator and the superfluid phase occurs at fixed density and belongs to the three-dimensional XY model universality class. Using a nonperturbative renormalization-group approach, we compute the pressure P(μ, T) as a function of chemical potential and temperature. Our results compare favorably with a calculation based on the quantum O(2) model -we find the same universal scaling function- and allow us to determine the region of the phase diagram in the vicinity of a quantum multicritical point where the equation of state is universal. We also discuss the possible experimental observation of quantum XY criticality in an ultracold gas in an optical lattice.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/104/16002