Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-07-11
Phys. Rev. A 69, 013602 (2004).
Physics
Condensed Matter
Soft Condensed Matter
12 pages, 19 figures, submitted to Phys. Rev. A
Scientific paper
10.1103/PhysRevA.69.013602
Critical behavior of solitonic waveforms of Bose-Einstein condensates in optical lattices (OL) has been studied in the framework of continuous mean-field equation. In 2D and 3D OLs bright matter-wave solitons undergo abrupt delocalization as the strength of the OL is decreased below some critical value. Similar delocalizing transition happens when the coefficient of nonlinearity crosses the critical value. Contrarily, bright solitons in 1D OLs retain their integrity over the whole range of parameter variations. The interpretation of the phenomenon in terms of quantum bound states in the effective potential is proposed.
Baizakov Bakhtiyor B.
Salerno Mario
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