Observation of cnoidal wave localization in nonlinear topolectric circuits
Hendrik Hohmann, Tobias Hofmann, Tobias Helbig, Stefan Imhof, Hauke Brand, Lavi K. Upreti, Alexander Stegmaier, Alexander Fritzsche, Tobias Müller, Udo Schwingenschlögl, Ching Hua Lee, Martin Greiter, L. W. Molenkamp, T. Kießling, Ronny Thomale
Abstract
A localized cnoidal state deriving from the interplay of nonlinearity and topology inherent to a Su-Schrieffer-Heeger chain is measured. Subsequently, a theoretical framework combining the nonlinear Korteweg--de Vries equation with topological localization is presented.
Topics & Concepts
PhysicsTopology (electrical circuits)Electronic circuitVoltageCapacitorNonlinear systemElectrical impedanceDiodeMathematical analysisMathematicsElectrical engineeringEngineeringQuantum mechanicsNonlinear Photonic SystemsTopological Materials and PhenomenaMechanical and Optical Resonators