Abstract
We investigate the nonlinear coupling between the lowest three scissors modes of a Bose-Einstein condensate at zero temperature. Using a variational approach with a general variational wave function we determine, solely from the parity of the scissors modes, the nonvanishing coupling terms. In agreement with a similar previous calculation with a Gaussian variational wave function, which is a special case of our general function, we find two resonance conditions at trap anisotropy ratios λ = 1 and λ = √7. We use the latter condition to explain the observed resonance in the collisional damping of scissors modes. In addition, we investigate the higher order scissors modes and the eigenmodes and eigenfrequencies for isotropic traps.
| Original language | English |
|---|---|
| Pages (from-to) | 113-127 |
| Number of pages | 15 |
| Journal | Journal of Low Temperature Physics |
| Volume | 131 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - Apr 2003 |
Bibliographical note
Funding Information:The authors would like to thank King Fahd University of Petroleum and Minerals (KFUPM) for financial support. The work of S. M. Alamoudi and H. Bahlouli was supported by the KFUPM research project No. PH/BOSE/241. U. Al Khawaja would like to thank the Physics Department at KFUPM for hosting him during the time when a large part of this work was performed. This work is supported in part by KFUPM and in part by the Stichting voor Fundamanteel Onderzoek der Materie (FOM), which is financially supported by the Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO).
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
- General Materials Science
- Condensed Matter Physics