Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-10-02
Physics
Condensed Matter
Other Condensed Matter
13 pages, 14 figures
Scientific paper
10.1103/PhysRevA.77.023615
The properties of the localized states of a two component Bose-Einstein condensate confined in a nonlinear periodic potential [nonlinear optical lattice] are investigated. We reveal the existence of new types of solitons and study their stability by means of analytical and numerical approaches. The symmetry properties of the localized states with respect to the NOL are also investigated. We show that nonlinear optical lattices allow the existence of bright soliton modes with equal symmetry in both components, bright localized modes of mixed symmetry type, as well as, dark-bright bound states and bright modes on periodic backgrounds. In spite of the quasi 1D nature of the problem, the fundamental symmetric localized modes undergo a delocalizing transition when the strength of the nonlinear optical lattice is varied. This transition is associated with the existence of an unstable solution, which exhibits a shrinking (decaying) behavior for slightly overcritical (undercritical) variations in the number of atoms.
Abdullaev Fatkhulla Kh.
Gammal Arnaldo
Salerno Mario
Tomio Lauro
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