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

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Cited by in corpus (13)

• Artificial gauge potentials for neutral atoms
• Light-induced gauge fields for ultracold atoms
• Gauge fields for ultracold atoms in optical superlattices
• Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
• Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
• Time-Reversal-Invariant Hofstadter-Hubbard Model with Ultracold Fermions
• Two-Dimensional Electron Gas with Cold Atoms in Non-Abelian Gauge Potentials
• Correlated Topological Phases and Exotic Magnetism with Ultracold Fermions
• Characterizing the Hofstadter butterfly's outline with Chern numbers
• Vortex lattices for ultracold bosonic atoms in a non-Abelian gauge potential
• Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices
• Hofstadter problem in higher dimensions
• Cold atoms in U(3) gauge potentials