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Spontaneous symmetry breaking of gap solitons and phase transitions in double-well traps

Spontaneous symmetry breaking of gap solitons and phase transitions in double-well traps

We study stationary states of a two-dimensional (2D) Bose-Einstein condensate with both attractive and repulsive nonlinearities in a combination of a double-square-well potential in one direction and a perpendicular optical lattice. We look for dual-core solitons in this configuration, focusing on their symmetry-breaking bifurcations. For attractive interactions, without the lattice, …