Four-wave mixing Floquet topological soliton

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.

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• Floquet engineering of optical nonlinearities: a quantum many-body approach