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EnglishCritical behavior of solitonic wave forms of Bose-Einstein condensates in optical lattices (OLs) has been studied in the framework of the continuous mean-field equation. In two and three-dimensions OLs 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.
| Titolo: | Delocalizing transition of multidimensional solitons in Bose-Einstein condensates |
| Autori: | |
| Data di pubblicazione: | 2004 |
| Rivista: | |
| Abstract: | Critical behavior of solitonic wave forms of Bose-Einstein condensates in optical lattices (OLs) has been studied in the framework of the continuous mean-field equation. In two and three-dimensions OLs 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. |
| Handle: | http://hdl.handle.net/11386/1063831 |
| Appare nelle tipologie: | 1.1.2 Articolo su rivista con ISSN |
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