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Symmetry breaking in competing single-well linear-nonlinear potentials

Symmetry breaking in competing single-well linear-nonlinear potentials

The combination of linear and nonlinear potentials, both shaped as a single well, enables competition between the confinement and expulsion induced by the former and latter potentials, respectively. We demonstrate that this setting leads to spontaneous symmetry breaking (SSB) of the ground state in the respective generalized nonlinear Schr\"odinger (Gross--Pitaevskii) …