Issue
EPL
Volume 80, Number 2, October 2007
Article Number 20001
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/80/20001
Published online 12 September 2007
EPL, 80 (2007) 20001
DOI: 10.1209/0295-5075/80/20001

Spatial patterns in optical lattices submitted to gauge potentials

N. Goldman

Center for Nonlinear Phenomena and Complex Systems - Université Libre de Bruxelles (U.L.B.) - Code Postal 231, Campus Plaine, B-1050 Brussels, Belgium


received 22 July 2007; accepted in final form 22 August 2007; published October 2007
published online 12 September 2007

Abstract
We study the vortex formation in optical lattices submitted to artificial gauge potentials. We compute the superfluid density for Abelian and non-Abelian gauge potentials with a mean-field approach of the Bose-Hubbard model and we determine the rule describing the number of vortices as a function of the effective magnetic flux. This simple rule is represented by a remarkably rich figure that represents the superfluid density as a function of the flux. The phenomena which emanate from this work should be observed experimentally in optical lattices within which atom tunneling is laser-assisted and described by commutative or non-commutative tunneling operators.

PACS
03.75.Lm - Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations.
05.30.Jp - Boson systems.
67.40.Db - Quantum statistical theory; ground state, elementary excitations.

© Europhysics Letters Association 2007