Observation and control of nonlinear electromagnetic topological edge states

Abstract

Topological photonics has recently emerged as a route to realize robust optical circuitry, and nonlinear effects are expected to enable tunability of topological states with the light intensity. Here we realize experimentally nonlinear self-induced spectral tuning of the electromagnetic topological edge states in an array of coupled nonlinear resonators in a pump-probe experiment. In a weakly nonlinear regime, we observe that resonators frequencies exhibit spectral shifts, that are concentrated mainly at the edge mode affecting only weakly the bulk modes. For a strong pumping, we describe several scenarios of the transformation of the edge states and their hybridization with bulk modes, and also predict a parametrically driven transition from topological to unstable regimes.

5 pages, 5 figures

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• Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: gauge matters
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• Continuous families of non-Hermitian surface solitons
• Recent advances in the combination of nonlinearity and exceptional points
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