Pioneered by topological insulators and semimetals, topological states of matter have shaped a significant part of contemporary condensed matter physics, and have largely branched out into adjacent fields such as photonics, mechanics, and other metamaterial setups. Recently, the frontier has shifted to topological systems which embody enrichments such as non-Hermiticity and non-linearity. In analogy to the paradigmatic example of the drosophila as the biological system most amenable to studies of genetic functionality, we want to establish electric circuit networks as the canonical platform for the study of intricate topological states of matter. Our work involves circuit network realizations of gain and loss, non-reciprocity, and synthetic dimensions. The outstanding accessibility and scalability of electric circuit metamaterials provides a new laboratory for topological matter.
Host: Jay Sau