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

Komineas, Stavros and Cooper, Nigel R. (2012) Vortex lattices for ultracold bosonic atoms in a non-Abelian gauge potential. Physical Review B, American Physical Society, 85 (5). 053623.

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Official URL: http://link.aps.org/doi/10.1103/PhysRevA.85.053623


The use of coherent optical dressing of atomic levels allows the coupling of ultracold atoms to effective non-dynamical 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.

Item Type: Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics > Department of Applied Mathematics
Depositing User: Mr Stavros Komineas
Date Deposited: 04 Jun 2012 10:18
Last Modified: 05 May 2017 22:55
URI: http://preprints.acmac.uoc.gr/id/eprint/126

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