Breathing mode of rapidly rotating Bose-Einstein condensates
| dc.creator | Watanabe, Gentaro | |
| dc.date | 2005-06-14 | |
| dc.date | 2006-01-14 | |
| dc.date.accessioned | 2026-07-07T07:43:26Z | |
| dc.date.available | 2026-07-07T07:43:26Z | |
| dc.description | We show that the breathing mode of a rapidly-rotating, harmonically-trapped Bose-Einstein condensate may be described by a generalized lowest Landau level (LLL) wave function, in which the oscillator length is treated as a variable. Using this wave function in a variational Lagrangian formalism, we show that the frequency of the breathing mode for a two-dimensional cloud is $2ω_{\perp}$, where $ω_{\perp}$ is the trap frequency. We also study large-amplitude oscillations and confirm that the above result is not limited to linear oscillations. The resulting mode frequency can be understood in terms of orbits of a single particle in a harmonic trap. The mode frequency is also calculated for a cloud in three dimensions and the result for the axial breathing mode frequency agrees with recent experimental data in the rapid rotation regime. | |
| dc.description | 10 pages, 3 figures. Extended discussion. see also cond-mat/0512317. Accepted for publication in Phys. Rev. A, one reference added | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0506331 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0506331 | |
| dc.identifier | Phys.Rev. A73 (2006) 013616 | |
| dc.identifier | doi:10.1103/PhysRevA.73.013616 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122824 | |
| dc.subject | Other Condensed Matter | |
| dc.subject | Nuclear Theory | |
| dc.title | Breathing mode of rapidly rotating Bose-Einstein condensates | |
| dc.type | text |