Abstract
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 , and we propose the appropriate low-dimensional modifications, which have a universal form. For we analyze density profiles in confining potentials, superfluid properties, solitons, and self-similar solutions.
- Received 18 February 2000
DOI:https://doi.org/10.1103/PhysRevLett.85.1146
©2000 American Physical Society