Topological Phenomena in the Floquet-Lattice of Electrical Circuits

Floquet-topological states are conventionally studied in the context of quantum mechanics' Schrödinger equation, a first-order ordinary differential equation. However, recent research has shown that topological states are a fundamental aspect of all types of lattice-like wave systems, such as optical waveguides, coupled mechanical oscillators or electrical circuit lattices. Investigating periodically modulated electric circuit networks, we find that the rich structure of the differential equations governing them present fertile grounds for the discovery of novel kinds of Floquet-Topological phenomena. I will discuss how the differences between Quantum mechanics' Schrödinger equation and an electrical circuits' higher-order differential equations manifest in the Floquet description, and what this implies for the possibility of emerging topological effects.