Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation

Details Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation

2000-02-17

arxiv.org/abs/cond-mat/0002282v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.85.1146

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 less than or equal to 2, and we propose the appropriate low-dimensional modifications. For d=1 we analyze density profiles in confining potentials, superfluid properties, solitons, and self-similar solutions.

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