Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop

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dc.creatorGoldman, N.
dc.creatorKubasiak, A.
dc.creatorGaspard, P.
dc.creatorLewenstein, M.
dc.date2009-02-18
dc.date2009-02-27
dc.date.accessioned2026-07-07T13:08:46Z
dc.date.available2026-07-07T13:08:46Z
dc.descriptionNowadays it is experimentally feasible to create artificial, and in particular, non-Abelian gauge potentials for ultracold atoms trapped in optical lattices. Motivated by this fact, we investigate the fundamental properties of an ultracold Fermi gas in a non-Abelian U(2) gauge potential characterized by a constant Wilson loop. Under this specific condition, the energy spectrum exhibits a robust band structure with large gaps and reveals a new fractal figure. The transverse conductivity is related to topological invariants and is shown to be quantized when the Fermi energy lies inside a gap of the spectrum. We demonstrate that the analogue of the integer quantum Hall effect for neutral atoms survives the non-Abelian coupling and leads to a striking fractal phase diagram. Moreover, this coupling induces an anomalous Hall effect as observed in graphene.
dc.description12 pages, 2 appendices, 7 figures, extended version of arXiv:0712.2571
dc.identifierhttps://arxiv.org/abs/0902.3228
dc.identifierhttp://arxiv.org/abs/0902.3228
dc.identifierPhys.Rev.A79:023624,2009
dc.identifierdoi:10.1103/PhysRevA.79.023624
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228522
dc.subjectMesoscale and Nanoscale Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleUltracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
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