Four-wave mixing Floquet topological soliton

TL;DR

This paper investigates topological Floquet insulators in honeycomb waveguide arrays, demonstrating the existence of stable and metastable edge solitons arising from four-wave mixing at resonances, with derived coupled nonlinear equations.

Contribution

It introduces a model for topological Floquet insulators with four-wave mixing and derives equations describing stable and metastable edge solitons in this system.

Findings

Stable linearly polarized edge solitons exist.

Metastable elliptically polarized edge solitons are supported.

Coupled nonlinear equations accurately describe soliton evolution.

Abstract

We consider a topological Floquet insulator realized as a honeycomb array of helical waveguides imprinted in weakly birefringent medium. The system accounts for four-wave mixing occurring at a series of resonances arising due to Floquet phase matching. Under these resonant conditions, the system sustains stable linearly polarized and metastable elliptically polarized two-component edge solitons. Coupled nonlinear equations describing evolution of the envelopes of such solitons are derived.