Low-dimensional bose liquids: beyond the gross-pitaevskii approximation

  title={Low-dimensional bose liquids: beyond the gross-pitaevskii approximation},
  author={Eugene B. Kolomeisky and Timothy J. Newman and Joseph P. Straley and Xiaoya Qi},
  journal={Physical Review Letters},
The Gross-Pitaevskii approximation is a long-wavelength theory widely used to describe a variety of properties of dilute Bose condensates, in particular trapped alkali gases. We point out that for short-ranged repulsive interactions this theory fails in dimensions $d\ensuremath{\le}2$, and we propose the appropriate low-dimensional modifications, which have a universal form. For $d\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1$ we analyze density profiles in confining potentials… 
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