Free expansion of two-dimensional condensates with a vortex
arXiv:cond-mat/0303244 · doi:10.1088/0953-4075/36/12/306
Abstract
We study the free expansion of a pancake-shaped Bose-condensed gas, which is initially trapped under harmonic confinement and containing a vortex at its centre. In the case of a radial expansion holding fixed the axial confinement we consider various models for the interactions, depending on the thickness of the condensate relative to the value of the scattering length. We are thus able to evaluate different scattering regimes ranging from quasi-three-dimensional (Q3D) to strictly two-dimensional (2D). We find that as the system goes from Q3D to 2D the expansion rate of the condensate increases whereas that of the vortex core decreases. In the Q3D scattering regime we also examine a fully free expansion in 3D and find oscillatory behaviour for the vortex core radius: an initial fast expansion of the vortex core is followed by a slowing down. Such a nonuniform expansion rate of the vortex core may be taken into account in designing new experiments.
arXiv comment10 pages, 4 figures
References in corpus (18)
- Vortex formation in a stirred Bose-Einstein condensate
- Realization of Bose-Einstein condensates in lower dimensions
- Bose-Einstein condensation in quasi2D trapped gases
- Bosons in anisotropic traps: ground state and vortices
- Interatomic collisions in a tightly confined Bose gas
- Topological vortex formation in a Bose-Einstein condensate
- Driving Bose-Einstein condensate vorticity with a rotating normal cloud
- Low-dimensional Bose liquids: beyond the Gross-Pitaevskii approximation
- Vortex nucleation in Bose-Einstein condensates in an oblate, purely magnetic potential
- Vortex precession in Bose-Einstein condensates: observations with filled and empty cores
- Bose-Einstein condensates with vortices in rotating traps
- Gapless finite- theory of collective modes of a trapped gas
- Energy dependent scattering and the Gross-Pitaevskii Equation in two dimensional Bose-Einstein condensates
- Vortices in Bose-Einstein-Condensed Atomic Clouds
- Free expansion of Bose-Einstein condensates with quantized vortices
- Dynamics of collapsing and exploding Bose-Einstein condensed vortex state
- Free expansion of attractive and repulsive Bose-Einstein condensed vortex states
- Solutions of the Gross-Pitaevskii equation in two dimensions