2022/03/01 by H. S. Xu, K. L. Zhang, L. Jin +1
Engineering · Mathematics · Physics and Astronomy · #Computer science #Eigenvalues and eigenvectors #Enhanced Data Rates for GSM Evolution #Geometry #Hermitian matrix #Mathematics #Optics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Reflection (computer programming) #Scattering #Scattering theory #Signature (topology) #Telecommunications #Terahertz technology and applications #Topological Materials and Phenomena #Topology (electrical circuits) #Transmission (telecommunications) #quant-ph
paper · pdf · doi:10.1103/physreva.105.033501
published as Phys. Rev. A. 105, 033501 (2022) · 10 pages, 7 figures
openalex publication_date 2022/03/01 · arxiv created 2022/03/02 · arxiv updated 2022/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Particle beam scattering is a conventional technique for detecting the nature of matter. We studied the scattering problem of a cluster connected to multiple leads. We established the connection between the eigenstate of the topological scattering center and the transmission and reflection amplitudes for the resonant scattering process. We discovered that as an application, this approach enables the detection of the edge state in the band gap for both Hermitian and non-Hermitian systems and the identification of the topology of a system. We investigated two types of Su-Schrieffer-Heeger chains as examples. In addition, we proposed a dynamic scheme through an evanescently coupled-waveguide array to detect the edge state on the basis of measured transmission intensity. Numerical simulation revealed that pattern visibility can be the signature of the edge states.