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

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 نشر من قبل Patrizia Vignolo
 تاريخ النشر 2002
  مجال البحث فيزياء
والبحث باللغة English
 تأليف B. Tanatar SNS




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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.



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