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

2000/02/17 by Eugene B. Kolomeisky, T. J. Newman, Joseph P. Straley +1 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #cond-mat.stat-mech #physics.atom-ph #quant-ph

paper · pdf · doi:10.1103/physrevlett.85.1146

4 pages, 3 figures

arxiv created 2000/02/17 · openalex publication_date 2000/08/07 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions
• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• Structure of a quantized vortex in boson systems
• Two-Dimensional System of Hard-Core Bosons
• Bose-Einstein Condensation in a Gas of Sodium Atoms

Cited by

• Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates
• Solitary waves in elongated clouds of strongly interacting bosons
• Bose–Einstein condensate [wikipedia]