Localization by entanglement

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dc.creatorBrand, Joachim
dc.creatorFlach, Sergej
dc.creatorFleurov, Victor
dc.creatorSchulmann, L. S.
dc.creatorTolkunov, Denis
dc.date2007-05-07
dc.date2008-08-05
dc.date.accessioned2026-07-07T09:54:21Z
dc.date.available2026-07-07T09:54:21Z
dc.descriptionWe study the localization of bosonic atoms in an optical lattice, which interact in a spatially confined region. The classical theory predicts that there is no localization below a threshold value for the strength of interaction that is inversely proportional to the number of participating atoms. In a full quantum treatment, however, we find that localized states exist for arbitrarily weak attractive or repulsive interactions for any number ($>1$) of atoms. We further show, using an explicit solution of the two-particle bound state and an appropriate measure of entanglement, that the entanglement tends to a finite value in the limit of weak interactions. Coupled with the non-existence of localization in an optimized quantum product state, we conclude that the localization exists by virtue of entanglement.
dc.description6 pages, 4 figures; final published version with small changes in response to reviewer comments
dc.identifierhttps://arxiv.org/abs/0705.0943
dc.identifierhttp://arxiv.org/abs/0705.0943
dc.identifierEurophys. Lett., 83 (2008) 40002
dc.identifierdoi:10.1209/0295-5075/83/40002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166279
dc.subjectOther Condensed Matter
dc.subjectPattern Formation and Solitons
dc.subjectQuantum Physics
dc.titleLocalization by entanglement
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