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- Title
Finite number of vortices and bending of finite vortex lines in a confined rotating Bose-Einstein condensate.
- Authors
Chen, Z. Z.; Ma, Y. L.
- Abstract
The minimal energy configurations of finite Nv-body vortices in a rotating trapped Bose-Einstein condensate is studied analytically by extending the previous work [Y. Castin, R. Dum, Eur. Phys. J. D 7, 399 (1999)], and taking into account the finite size effects on z-direction and the bending of finite vortex lines. The calculation of the energy of the vortices as a function of the rotation frequency of the trap gives number, curvature, configuration of vortices and width of vortex cores self-consistently. The numerical results show that (1) the simplest regular polynomial of the several vortex configurations is energetically favored; while the hexagonal vortex lattice is more stable than square lattice; (2) bending is more stable then straight vortex line along the z-axis for λ<1; (3) the boundary effect is obvious: compared with the estimation made under infinite boundary, the finite size effect leads to a lower vortex density, while the adding vortex bending results in a less higher density because of the expansion. The results are in well agreement with the other authors' ones.
- Subjects
BOSE-Einstein condensation; SPHEROMAKS; VORTEX motion; ENERGY levels (Quantum mechanics); ION traps; FREQUENCY stability; BENDING moment; FINITE size scaling (Statistical physics)
- Publication
European Physical Journal D (EPJ D), 2007, Vol 41, Issue 1, p163
- ISSN
1434-6060
- Publication type
Article
- DOI
10.1140/epjd/e2006-00195-x