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Bose-Einstein condensates at equilibrium inside a pancake-shaped trap: dimensional cross-over in the scattering properties | | B. Tanatar A. Minguzzi
; P. Vignolo
; M.P. Tosi
; | | Date: |
3 May 2002 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Affiliation: | Bilkent University, Ankara; SNS, Pisa | | Abstract: | Two-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. | | Source: | arXiv, cond-mat/0205064 | | Services: | Forum | Review | PDF | Favorites | |
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