Spontaneous symmetry breaking of solitons trapped in a double-channel potential

We consider a two-dimensional (2D) nonlinear Schrodinger equation with self-focusing nonlinearity and a quasi-1D double-channel potential, i.e., a straightforward 2D extension of the well-known double-well potential. The model may be realized in terms of nonlinear optics and Bose-Einstein condensates. The variational approximation (VA) predicts a bifurcation breaking the symmetry of 2D solitons trapped in the double channel, the bifurcation being of the subcritical type. The predictions of the VA are confirmed by numerical simulations. The work presents the first example of the spontaneous symmetry breaking (SSB) of 2D solitons in any dual-core system.
Comment: to be published in Phys. Rev. A