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.
Delocalizing transition of multidimensional solitons in Bose-Einstein condensates
SALERNO, Mario
2004
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
