title: Low-dimensional bose liquids: beyond the gross-pitaevskii approximation
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.
authors.affiliation: Department of Physics, University of Virginia, McCormick Road, Charlottesville, Virginia 22903, USA.
authors.initials: EB
authors.lastname: Kolomeisky
authors.initials: TJ
authors.lastname: Newman
authors.initials: JP
authors.lastname: Straley
authors.initials: X
authors.lastname: Qi