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

Eugene B. Kolomeisky·T. J. Newman·Joseph P. Straley·Xiaoya Qi
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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.

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Eugene B. Kolomeisky, T. J. Newman, Joseph P. Straley, Xiaoya Qi. 2000-02-17. Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation. https://doi.org/10.1103/physrevlett.85.1146

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