Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-02-13
Physics
Condensed Matter
Other Condensed Matter
6 pages, 5 figures
Scientific paper
10.1103/PhysRevA.78.013603
We introduce a two dimensional model for the Bose-Einstein condensate with both attractive and repulsive nonlinearities. We assume a combination of a double well potential in one direction, and an optical lattice along the perpendicular coordinate. We look for dual core solitons in this model, focusing on their symmetry-breaking bifurcations. The analysis employs a variational approximation, which is verified by numerical results. The bifurcation which transforms antisymmetric gap solitons into asymmetric ones is of supercritical type in the case of repulsion; in the attraction model, increase of the optical latttice strength leads to a gradual transition from subcritical bifurcation (for symmetric solitons) to a supercritical one.
Gocalek J.
Infeld Eryk
Malomed Boris A.
Matuszewski Michal
Oberthaler Markus
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