Trapped Bose-Einstein Condensates: Role of Dimensionality
| dc.creator | Kivshar, Yuri S. | |
| dc.creator | Alexander, Tristram J. | |
| dc.date | 1999-05-05 | |
| dc.date.accessioned | 2026-07-07T03:13:23Z | |
| dc.date.available | 2026-07-07T03:13:23Z | |
| dc.description | We analyse systematically, from the viewpoint of the nonlinear physics of solitary waves, the effect of the spatial dimension (D = 1,2,3) on the structure and stability of the Bose-Einstein condensates (BECs) trapped in an external anisotropic parabolic potential. While for the positive scattering length the stationary ground-state solutions of the Gross-Pitaevskii equation are shown to be always stable independently of the spatial dimension, for the negative scattering length the ground-state condensate is stable only in the 1D and 2D cases, whereas in the 3D case it becomes unstable. A direct link between nonlinear modes of BECs and (bright and dark) solitary waves of the nonlinear Schrodinger equation is demonstrated for all the dimensions. | |
| dc.description | 11 pages, 10 figures To appear in the Proceeding of the APCTP-Nankai Symposium on Yang-Baxter Systems, Nonlinear Models and Their Applications. Eds. Q-Han Park et al. (World Scientific, Singapore, 1999) in press | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9905048 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9905048 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/29278 | |
| dc.subject | Condensed Matter | |
| dc.title | Trapped Bose-Einstein Condensates: Role of Dimensionality | |
| dc.type | text |