Solitons and vortices in an evolving Bose-Einstein condensate
arXiv:0811.0874 · doi:10.1103/PhysRevA.77.035602
Abstract
Spatiotemporal evolution of a confined Bose-Einstein condensate is studied by numerically integrating the time-dependent Gross-Pitaevskii equation. Self-interference between the successively expanding and reflecting nonlinear matter waves results in spiral atomic density profile, which subsequently degenerates into an embedding structure: The inner part preserves memory of the initial states while the outer part forms a sequence of necklacelike rings. The phase plot reveals a series of discrete concentric belts. The large gradients between adjacent belts indicate that the ring density notches are dark solitons. In the dynamical process, a scenario of vortex-antivortex pairs are spontaneously created and annihilated, whereas the total vorticity keeps invariant.
4 pages, 4 figures
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Cited by in corpus (7)
- Dark solitons in atomic Bose-Einstein condensates: from theory to experiments
- Metastability of quantum droplet clusters
- Stabilization of ring dark solitons in Bose-Einstein condensates
- Rotation and Angular Momentum Transfer in Bose-Einstein Condensates Induced by Spiral Dark Solitons
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- Skyrmion crystals in the pseudo-spin-1/2 Bose-Einstein condensates
- Exact solutions to the three-dimensional Gross-Pitaevskii equation with modulated radial nonlinearity