2017/09/05 by L. Jin · 2 citations
Mathematics · Physics and Astronomy · #Combinatorics #Condensed matter physics #Hermitian matrix #Lattice (music) #Mathematics #Nonlinear Photonic Systems #Optical lattice #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Superfluidity #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physreva.96.032103
published as Physical Review A 96, 032103 (2017) · 9 pages, 7 figures
openalex publication_date 2017/09/05 · openalex created_date 2017/09/15 · arxiv created 2018/03/18 · arxiv updated 2018/03/20 · openalex updated_date 2026/08/05
Topologically engineered optical materials support robust light transport. Herein, the investigated non-Hermitian lattice is trimerized and inhomogeneously coupled using uniform intracell coupling. The topological properties of the coupled waveguide lattice are evaluated and we find that the PT-symmetric phase of a PT-symmetric lattice can have different topologies; the edge states depend on the lattice size, boundary configuration, and competition between the coupling and degree of non-Hermiticity. The topologically nontrivial region is extended in the presence of periodic gain and loss. The nonzero geometric phases accumulated by the Bloch bands indicate the existence of topologically protected edge states between the band gaps. The unidirectional amplification and attenuation zero modes appear above a threshold degree of non-Hermiticity, which facilitates the development of a robust optical diode.