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, 85 (6), 1146-9

Low-dimensional Bose Liquids: Beyond the Gross-Pitaevskii Approximation

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Low-dimensional Bose Liquids: Beyond the Gross-Pitaevskii Approximation

EB Kolomeisky et al. Phys Rev Lett.

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</=2, and we propose the appropriate low-dimensional modifications, which have a universal form. For d = 1 we analyze density profiles in confining potentials, superfluid properties, solitons, and self-similar solutions.

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