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

@article{Kolomeisky2000LowdimensionalBL, 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}, year={2000}, volume={85}, pages={1146-1149} }

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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