Single-atom density of states of an optical lattice

dc.creatorHooley, C.
dc.creatorQuintanilla, J.
dc.date2003-12-02
dc.date2004-05-14
dc.date.accessioned2026-07-07T02:55:09Z
dc.date.available2026-07-07T02:55:09Z
dc.descriptionWe consider a single atom in an optical lattice, subject to a harmonic trapping potential. The problem is treated in the tight-binding approximation, with an extra parameter κdenoting the strength of the harmonic trap. It is shown that the κ\to 0 limit of this problem is singular, in the sense that the density of states for a very shallow trap (κ\to 0) is {\it qualitatively different} from that of a translationally invariant lattice (κ= 0). The physics of this difference is discussed, and densities of states and wave functions are exhibited and explained.
dc.description4 pages, 3 figures, REVTEX 4. Three typos corrected and minor textual modifications
dc.identifierhttps://arxiv.org/abs/cond-mat/0312079
dc.identifierhttp://arxiv.org/abs/cond-mat/0312079
dc.identifierPhys. Rev. Lett. 93, 080404 (2004)
dc.identifierdoi:10.1103/PhysRevLett.93.080404
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22834
dc.subjectStatistical Mechanics
dc.subjectSoft Condensed Matter
dc.titleSingle-atom density of states of an optical lattice
dc.typetext

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