Bose-Einstein condensates at equilibrium inside a pancake-shaped trap: dimensional cross-over in the scattering properties

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dc.creatorTanatar, B.
dc.creatorMinguzzi, A.
dc.creatorVignolo, P.
dc.creatorTosi, and M. P.
dc.date2002-05-03
dc.date.accessioned2026-07-07T02:45:18Z
dc.date.available2026-07-07T02:45:18Z
dc.descriptionTwo-dimensionality of the scattering events in a Bose-Einstein condensate introduces a logarithmic dependence on density in the coupling constant entering a mean-field theory of the equilibrium density profile, which becomes dominant as the s-wave scattering length gets larger than the condensate thickness. We analyze quantitatively the role of the form of the coupling constant in determining the transverse profile of a condensate confined in a harmonic pancake-shaped trap at zero temperature. We trace the regions of experimentally accessible system parameters for which the cross-over between different dimensionality behaviors may become observable through in situ imaging of the condensed cloud with varying trap anisotropy and scattering length.
dc.description8 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0205064
dc.identifierhttp://arxiv.org/abs/cond-mat/0205064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19250
dc.subjectStatistical Mechanics
dc.titleBose-Einstein condensates at equilibrium inside a pancake-shaped trap: dimensional cross-over in the scattering properties
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