2018/05/21 by Simon Malzard, Henning Schomerus
Mathematics · Physics and Astronomy · #Anisotropy #Computer science #Enhanced Data Rates for GSM Evolution #Fermi Gamma-ray Space Telescope #Geometry #Gravitational singularity #Hermitian matrix #Homogeneous space #Mathematics #Nonlinear Photonic Systems #Optics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Resonator #Telecommunications #Topological Materials and Phenomena #physics.optics #quant-ph
paper · pdf · doi:10.1103/physreva.98.033807
published as Phys. Rev. A 98, 033807 (2018)
arxiv created 2018/05/21 · openalex publication_date 2018/09/07 · arxiv updated 2018/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We describe the formation of bulk and edge arcs in the dispersion relation of two-dimensional coupled-resonator arrays that are topologically trivial in the Hermitian limit. Each resonator provides two asymmetrically coupled internal modes, as realized in noncircular open geometries, which enables the system to exhibit non-Hermitian physics. Neighboring resonators are coupled chirally to induce non-Hermitian symmetries. The bulk dispersion displays Fermi arcs connecting spectral singularities known as exceptional points and can be tuned to display purely real and imaginary branches. At an interface between resonators of different shape, one-dimensional edge states form that spectrally align along complex arcs connecting different parts of the bulk bands. We also describe conditions under which the edge-state arcs are freestanding. These features can be controlled via anisotropy in the resonator couplings.