Quantum Hall-like effect for cold atoms in non-Abelian gauge potentials

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dc.creatorGoldman, N.
dc.creatorGaspard, P.
dc.date2006-09-19
dc.date2007-05-23
dc.date.accessioned2026-07-07T08:49:22Z
dc.date.available2026-07-07T08:49:22Z
dc.descriptionWe study the transport of cold fermionic atoms trapped in optical lattices in the presence of artificial Abelian or non-Abelian gauge potentials. Such external potentials can be created in optical lattices in which atom tunneling is laser assisted and described by commutative or non-commutative tunneling operators. We show that the Hall-like transverse conductivity of such systems is quantized by relating the transverse conductivity to topological invariants known as Chern numbers. We show that this quantization is robust in non-Abelian potentials. The different integer values of this conductivity are explicitly computed for a specific non-Abelian system which leads to a fractal phase diagram.
dc.description6 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0609472
dc.identifierhttp://arxiv.org/abs/cond-mat/0609472
dc.identifierEurophys. Lett. 78 60001 (2007)
dc.identifierdoi:10.1209/0295-5075/78/60001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144275
dc.subjectMesoscale and Nanoscale Physics
dc.titleQuantum Hall-like effect for cold atoms in non-Abelian gauge potentials
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