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Josephson oscillations of edge quasi-solitons in a photonic-topological coupler

Nataliia Bazhan, Boris Malomed, and Alexander Yakimenko

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Abstract

We introduce a scheme of a photonic coupler built of two parallel topological-insulator slab waveguides with the intrinsic Kerr nonlinearity, separated by a lattice spacing. Josephson oscillations (JOs) of a single edge quasi-soliton (QS) created in one slab, and of a pair of QSs created in two slabs, are considered. The single QS jumping between the slabs is subject to quick radiative decay. However, the JOs of the co-propagating QS pair may be essentially more robust, as one QS absorbs dispersive waves emitted by the other. The most robust JO regime is featured by the pair of QSs with phase shift π between them.

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Supplementary Material (14)

NameDescription
Supplement 1       Supplemental document.
Visualization 1       This video illustrates propagation of two quasi-solitons in topological coupler with initial phase difference is equal to 0.
Visualization 2       This video illustrates propagation of two quasi-solitons in topological coupler with initial phase difference is equal to pi.
Visualization 3       This video demonstrates Josephson oscillations of the single quasi-soliton in the coupler.
Visualization 4       This video shows the propagation of a single quasi-soliton on the edge of the separate slab.
Visualization 5       This video demostrates stable propagation of the pair of quasi-solitons in the coupler with the defects.
Visualization 6       This video demostrates stable propagation of the pair of quasi-solitons in the coupler with the defects.
Visualization 7       This video demostrates stable propagation of the pair of quasi-solitons in the coupler with the defects.
Visualization 8       This video demostrates stable propagation of the pair of quasi-solitons in the coupler with the defects.
Visualization 9       This video demostrates stable propagation of the pair of quasi-solitons in the coupler with the defects.
Visualization 10       This video shows the evolution of the quasi-solitons pair with initial phase difference pi propagating in the coupler without one bulk waveguide.
Visualization 11       This video shows the evolution of the quasi-solitons pair with initial phase difference 0 propagating in the coupler without one bulk waveguide.
Visualization 12       This video demonstrates the single quasi-soliton jumping over the defect.
Visualization 13       This video demonstrates the destruction of the single quasi-soliton propagating on the opposite slab to the defect.

Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Figures (4)

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Equations (6)

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