Reconstruction of the Band Structure of a 2D Lattice of Superconducting Resonators with Laser Scanning Microscopy

Lattices of superconducting resonators hold the promise of providing a new platform for photonics lattices with sizable non linearity. In this letter, we describe the realization and study of honeycomb lattices of about 500 superconducting Nb spiral resonators. We image the lattice normal modes with a laser scanning technique. This allows us to reconstruct the lattice band-structure and density of states. Our results are in good agreement with ab initio electromagnetic simulations. As an example of a specially tailored lattice, we have designed a boundary between two honeycomb lattices with opposite mass imbalance (Semenoff insulators) and observe the edge states localized at the boundary. The existence of these states have a topological origin tied to the topological properties of the Dirac points in honeycomb lattices.