Disordered topological graphs enhancing nonlinear phenomena

TL;DR

This paper introduces disordered topological graphs that enhance nonlinear phenomena by protecting edge modes, leading to significantly increased photon pair generation and potential applications in quantum and AI technologies.

Contribution

It presents a novel construction of disordered topological graphs that improve nonlinear effects and energy confinement in topological channels, a new approach in complex network design.

Findings

Enhanced photon pair generation rate by an order of magnitude.

Disordered topological graphs improve energy retention in edge modes.

Potential applications in quantum interconnects and AI-based light processing.

Abstract

Complex networks play a fundamental role in understanding phenomena from the collective behavior of spins, neural networks, and power grids to the spread of diseases. Topological phenomena in such networks have recently been exploited to preserve the response of systems in the presence of disorder. We propose and demonstrate topological structurally disordered systems with a modal structure that enhances nonlinear phenomena in the topological channels by inhibiting the ultrafast leakage of energy from edge modes to bulk modes. We present the construction of the graph and show that its dynamics enhances the topologically protected photon pair generation rate by an order of magnitude. Disordered nonlinear topological graphs will enable advanced quantum interconnects, efficient nonlinear sources, and light-based information processing for artificial intelligence.