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.
- Publication:
-
Physical Review Letters
- Pub Date:
- August 2000
- DOI:
- 10.1103/PhysRevLett.85.1146
- arXiv:
- arXiv:cond-mat/0002282
- Bibcode:
- 2000PhRvL..85.1146K
- Keywords:
-
- Condensed Matter - Statistical Mechanics;
- Physics - Atomic Physics;
- Quantum Physics
- E-Print:
- 4 pages, 3 figures