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.

5 pages, 5 figures

References in corpus (3)

• Topological Photonics
• Polariton $\mathbb{Z}$ Topological Insulator
• Tight-binding methods for general longitudinally driven photonic lattices -- edge states and solitons

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• 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