Topological properties of coupled one-dimensional chains of elastic rotators

Abstract

We introduce a model system composed of elastically coupled one-dimensional chains of elastic rotators. The chains of rotators are analogous to elastic Su-Schrieffer-Heeger models. The coupled chain system is shown analytically and numerically to support an unusual number of topological properties such as Dirac degeneracies, band inversion and topological transition as a function of the strength of the parameter coupling the chains, nonseparability of the modes' degrees of freedom along and across the coupled chains that are analogous to entangled Bell states in a multipartite quantum system. Finally, we reveal the formation of a synthetic dimension by allowing the coupling parameter to vary with time, which has the potential to create higher-dimensional synthetic space. © 2021 Author(s).