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- W2895532651 abstract "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 Schrodinger (Gross--Pitaevskii) equation, through a spontaneous off-center shift of the trapped mode. Two different SSB bifurcation scenarios are possible, depending on the shape of the nonlinearity-modulation profile, which determines the nonlinear potential. If the profile is bounded (remaining finite at $|x|ensuremath{rightarrow}ensuremath{infty}$), at a critical value of the integral norm the spatially symmetric state loses its stability, giving rise to a pair of mutually symmetric stable asymmetric ones via a direct pitchfork bifurcation. On the other hand, if the nonlinear potential is unbounded, two unstable asymmetric modes merge into the symmetric metastable mode and destabilize it via an inverted pitchfork bifurcation. Parallel to a systematic numerical investigation, basic results are obtained in an analytical form. The settings can be realized in Bose--Einstein condensates and nonlinear optical waveguides." @default.
- W2895532651 created "2018-10-12" @default.
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- W2895532651 date "2018-10-17" @default.
- W2895532651 modified "2023-10-16" @default.
- W2895532651 title "Symmetry breaking in competing single-well linear-nonlinear potentials" @default.
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- W2895532651 doi "https://doi.org/10.1103/physreve.98.042209" @default.
- W2895532651 hasPublicationYear "2018" @default.
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