Disordered topological graphs enhancing nonlinear phenomena

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.

arXiv commentMain Text: 7 pages, 4 figures. Supplementary Information: 5 pages, 6 figures. With respect to version 1 we've carried out a minor revision of the document

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Cited by in corpus (5)

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• Tutorial: Classifying Photonic Topology Using the Spectral Localizer and Numerical $K$-Theory
• Probing topology in nonlinear topological materials using numerical $K$-theory
• A tale of two localizations: coexistence of flat bands and Anderson localization in a photonics-inspired amorphous system
• Laser-induced topological phases in monolayer amorphous carbon