Spatial patterns in optical lattices submitted to gauge potentials

Details Spatial patterns in optical lattices submitted to gauge potentials Spatial patterns in optical lattices submitted to gauge potentials

2007-07-25

arxiv.org/abs/0707.3727v2

Europhys. Lett. 80 20001 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages

Scientific paper

10.1209/0295-5075/80/20001

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.

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