On creation and evolution of dark solitons in Bose-Einstein condensates
| dc.creator | Brazhnyi, V. A. | |
| dc.creator | Kamchatnov, A. M. | |
| dc.creator | Konotop, V. V. | |
| dc.date | 2003-01-17 | |
| dc.date.accessioned | 2026-07-07T02:49:13Z | |
| dc.date.available | 2026-07-07T02:49:13Z | |
| dc.description | Generation of dark solitons from large initial excitations and their evolution in a quasi-one-dimensional Bose-Einstein condensate trapped by a harmonic potential is studied analytically and numerically. In the case of a single deep soliton main characteristics of its motion such as a frequency and amplitude of oscillations are calculated by means of the perturbation theory which in the leading order results in a Newtonian dynamics, corrections to which are computed as well. It is shown that long-time dynamics of a dark soliton in a generic situation deviates substantially from outcomes of the naive application of the Ehrenfest theorem. We also consider three different techniques of controllable creation of multi-soliton structures (soliton trains) from large initial excitations and calculate their initial parameters (depths and velocities) with the use of a generalized Bohr-Sommerfeld quantization rule. Multi-soliton effects are discussed. | |
| dc.description | 14 pages, 10 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0301319 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0301319 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20707 | |
| dc.subject | Soft Condensed Matter | |
| dc.title | On creation and evolution of dark solitons in Bose-Einstein condensates | |
| dc.type | text |