Low-Dimensional Bose Liquids: Beyond the Gross-Pitaevskii Approximation
Eugene B. KolomeiskyDepartment of Physics, University of Virginia, McCormick Road, Charlottesville, Virginia 22903T. J. NewmanDepartment of Physics, University of Virginia, McCormick Road, Charlottesville, Virginia 22903Joseph P. StraleyDepartment of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506Xiaoya QiDepartment of Physics, University of Virginia, McCormick Road, Charlottesville, Virginia 22903
2000en
ABI
Аннотация
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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