LowDimensional Bose Liquids: Beyond the GrossPitaevskii Approximation
Abstract
The GrossPitaevskii approximation is a longwavelength theory widely used to describe a variety of properties of dilute Bose condensates, in particular trapped alkali gases. We point out that for shortranged repulsive interactions this theory fails in dimensions d<=2, and we propose the appropriate lowdimensional modifications, which have a universal form. For d = 1 we analyze density profiles in confining potentials, superfluid properties, solitons, and selfsimilar solutions.
 Publication:

Physical Review Letters
 Pub Date:
 August 2000
 DOI:
 10.1103/PhysRevLett.85.1146
 arXiv:
 arXiv:condmat/0002282
 Bibcode:
 2000PhRvL..85.1146K
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Physics  Atomic Physics;
 Quantum Physics
 EPrint:
 4 pages, 3 figures