Abstract
We introduce some types of physically interesting PT-symmetric and non-PT-symmetric potentials into the spinor F=1 Bose–Einstein condensates (i.e., three-component Gross–Pitaevskii equations). The parameter regions of real spectra are numerically found for the linear matrix non-Hermitian Hamiltonian with PT-symmetric Scarf-II and harmonic-Hermitian-Gaussian potentials. Moreover, we also obtain stable solitons with a wide range of system parameters even if the PT phases are broken. And the interactions between solitons with different shapes indicate that the anti-interference of the exact nonlinear models. Finally, the stable excitation of bright, single-hump, triple-humps solitons can be obtained by means of adiabatical change of parameters. Moreover, we also present the stable numerical solitons. The simulation results can provide the theoretical support for the related physical experiments. The idea used in this paper can also be extended to other nonlinear multi-wave models in PT-symmetric structures.
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