Fast rotating Bose-Einstein condensates in an asymmetric trap
| dc.creator | Aftalion, Amandine | |
| dc.creator | Blanc, Xavier | |
| dc.creator | Lerner, Nicolas | |
| dc.date | 2008-11-28 | |
| dc.date.accessioned | 2026-07-07T12:06:22Z | |
| dc.date.available | 2026-07-07T12:06:22Z | |
| dc.description | We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. This is done in the framework of the 2D Gross-Pitaevskii equation and requires a symplectic reduction of the quadratic form defining the energy. This reduction allows us to simplify the energy on a Bargmann space and study the asymptotics of large rotational velocity. We characterize two regimes of velocity and anisotropy; in the first one where the behaviour is similar to the isotropic case, we construct an upper bound: a hexagonal Abrikosov lattice of vortices, with an inverted parabola profile. The second regime deals with very large velocities, a case in which we prove that the ground state does not display vortices in the bulk, with a 1D limiting problem. In that case, we show that the coarse grained atomic density behaves like an inverted parabola with large radius in the deconfined direction but keeps a fixed profile given by a Gaussian in the other direction. The features of this second regime appear as new phenomena. | |
| dc.identifier | https://arxiv.org/abs/0811.4714 | |
| dc.identifier | http://arxiv.org/abs/0811.4714 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/208636 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 82C10 (Primary), 33E05, 35Q55, 46E20, 46N55, 47G30 | |
| dc.title | Fast rotating Bose-Einstein condensates in an asymmetric trap | |
| dc.type | text |