Vortex lattices for ultracold bosonic atoms in a non-Abelian gauge potential

Abstract

The use of coherent optical dressing of atomic levels allows the coupling of ultracold atoms to effective gauge fields. These can be used to generate effective magnetic fields, and have the potential to generate non-Abelian gauge fields. We consider a model of a gas of bosonic atoms coupled to a gauge field with U(2) symmetry, and with constant effective magnetic field. We include the effects of weak contact interactions by applying Gross-Pitaevskii mean-field theory. We study the effects of a U(2) non-Abelian gauge field on the vortex lattice phase induced by a uniform effective magnetic field, generated by an Abelian gauge field or, equivalently, by rotation of the gas. We show that, with increasing non-Abelian gauge field, the nature of the groundstate changes dramatically, with structural changes of the vortex lattice. We show that the effect of the non-Abelian gauge field is equivalent to the introduction of effective interactions with non-zero range. We also comment on the consequences of the non-Abelian gauge field for strongly correlated fractional quantum Hall states.

arXiv comment7 pages, 4 figures

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Cited by in corpus (10)

• Light-induced gauge fields for ultracold atoms
• Unconventional states of bosons with synthetic spin-orbit coupling
• Perturbed vortex lattices and the stability of nucleated topological phases
• Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields
• Topological phase transitions driven by non-Abelian gauge potentials in optical square lattices
• Fractional quantum Hall phases of bosons with tunable interactions: From the Laughlin liquid to a fractional Wigner crystal
• Fractional quantum Hall states of a Bose gas with spin-orbit coupling
• Magnetic vortex-antivortex crystals generated by spin-polarized current
• Numerical method for the projected Gross--Pitaevskii equation in an infinite rotating 2D Bose gas
• Strongly correlated states of trapped ultracold fermions in deformed Landau levels