Spatial patterns in optical lattices submitted to gauge potentials

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.

5 pages

References in corpus (4)

• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Molecules of Fermionic Atoms in an Optical Lattice
• Vortex configurations of bosons in an optical lattice
• Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials

Cited by in corpus (5)

• Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
• Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
• Two-Dimensional Electron Gas with Cold Atoms in Non-Abelian Gauge Potentials
• Characterizing the Hofstadter butterfly's outline with Chern numbers
• Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices