Bragg solitons in topological Floquet insulators

Abstract

We consider a topological Floquet insulator consisting of two honeycomb arrays of identical waveguides having opposite helicities. The interface between the arrays supports two distinct topological edge states, which can be resonantly coupled by additional weak longitudinal refractive index modulation with a period larger than the helix period. In the presence of Kerr nonlinearity, such coupled edge states enable topological Bragg solitons. Theory and examples of such solitons are presented.

arXiv comment5 pages, 5 figures

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• Light bullets in Su-Schrieffer-Heeger photonic topological insulators
• Floquet edge solitons in modulated trimer waveguide arrays
• Josephson oscillations of edge solitons in a photonic-topological coupler
• Topological edge states in photonic Floquet insulator with unpaired Dirac cones
• Macroscopic Zeno effect in Su-Schrieffer-Heeger photonic topological insulator
• Topological edge solitons in \{chi}(2) waveguide arrays
• $\pi$-solitons on a ring of waveguides
• Four-wave mixing Floquet topological soliton
• Floquet valley Hall edge solitons
• Floquet defect solitons
• Rotating topological edge solitons
• Self-steepening-induced stabilization of nonlinear edge waves at photonic valley-Hall interfaces