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

Preprint

18 February 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0002282

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 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.

Keywords

GROSS PITAEVSKII APPROXIMATION
PITAEVSKII APPROXIMATION
DIMENSIONAL BOSE
LOW DIMENSIONAL
MODIFICATIONS
BOSE LIQUIDS
SOLITONS

All Related Versions

Version 1, 2000-02-18, ArXiv
Published version: Physical Review Letters, 85 (6), 1146.

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