Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice

dc.creatorLiu, Xia-Ji
dc.creatorDrummond, Peter D.
dc.creatorHu, Hui
dc.date2004-10-18
dc.date2005-04-11
dc.date.accessioned2026-07-07T03:01:32Z
dc.date.available2026-07-07T03:01:32Z
dc.descriptionUsing the exact Bethe ansatz solution of the Hubbard model and Luttinger liquid theory, we investigate the density profiles and collective modes of one-dimensional ultra-cold fermions confined in an optical lattice with a harmonic trapping potential. We determine a generic phase diagram in terms of a characteristic filling factor and a dimensionless coupling constant. The collective oscillations of the atomic mass density, a technique that is commonly used in experiments, provide a signature of the quantum phase transition from the metallic phase to the Mott-insulator phase. A detailed experimental implementation is proposed.
dc.description4 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0410433
dc.identifierhttp://arxiv.org/abs/cond-mat/0410433
dc.identifierPhys. Rev. Lett. 94, 136406 (2005)
dc.identifierdoi:10.1103/PhysRevLett.94.136406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25084
dc.subjectStatistical Mechanics
dc.titleSignature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice
dc.typetext

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