Topological pumping and Tamm states in photonic systems
Solange Silva, David E. Fernandes, Tiago A. Morgado, Mário G. Silveirinha
Abstract
The topology of typical Chern insulators is rooted in the system periodicity along two directions of real space. Here, the authors depart from this paradigm and demonstrate that a generic non-Hermitian photonic waveguide periodic along a single direction can be regarded as a topological system with a synthetic dimension. The gap Chern number of the extended system is identical to the number of bands below the gap and controls the number of Tamm state branches at an interface with another waveguide.
Topics & Concepts
Topology (electrical circuits)PhysicsTopological insulatorHermitian matrixChern classPhotonicsWaveguideDimension (graph theory)Photonic crystalQuantum mechanicsMathematicsPure mathematicsCombinatoricsTopological Materials and PhenomenaQuantum Mechanics and Non-Hermitian PhysicsPhotorefractive and Nonlinear Optics