Delocalizing transition of multidimensional solitons in Bose-Einstein condensates
Abstract
Critical behavior of solitonic wave forms of Bose-Einstein condensates in optical lattices (OL’s) has been studied in the framework of the continuous mean-field equation. In two and three-dimensions OL’s bright matter-wave solitons undergo abrupt delocalization as the strength of the OL is decreased below some critical value. A similar delocalizing transition happens when the coefficient of nonlinearity crosses the critical value. As opposed, bright solitons in one-dimensional OL’s retain their integrity over the whole range of parameter variations. An interpretation of this phenomenon in terms of quantum bound states in the effective potential is proposed.
- Publication:
-
Physical Review A
- Pub Date:
- January 2004
- DOI:
- 10.1103/PhysRevA.69.013602
- arXiv:
- arXiv:cond-mat/0307283
- Bibcode:
- 2004PhRvA..69a3602B
- Keywords:
-
- 03.75.Kk;
- 05.30.Jp;
- 05.45.-a;
- Dynamic properties of condensates;
- collective and hydrodynamic excitations superfluid flow;
- Boson systems;
- Nonlinear dynamics and chaos;
- Condensed Matter - Soft Condensed Matter
- E-Print:
- 12 pages, 19 figures, submitted to Phys. Rev. A