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

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arxiv cond-mat/0002282 v1 pith:6A34JFNU submitted 2000-02-17 cond-mat.stat-mech physics.atom-phquant-ph

Eugene B. Kolomeisky , T. J. Newman , Joseph P. Straley , Xiaoya Qi This is my paper · ORCID
classification cond-mat.stat-mechphysics.atom-phquant-ph
keywords approximationbosegross-pitaevskiilow-dimensionalpropertiestheoryalkalianalyze
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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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