Signature of edge states in resonant wave scattering
arXiv:2203.00824 · doi:10.1103/PhysRevA.105.033501
Abstract
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.
10 pages, 7 figures
References in corpus (17)
- Topological Photonics
- Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
- Reflection-Free One-Way Edge Modes in a Gyromagnetic Photonic Crystal
- Analogs of quantum Hall effect edge states in photonic crystals
- Topological characterization of periodically-driven quantum systems
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Photonic Topological Anderson Insulators
- An Aharonov-Bohm interferometer for determining Bloch band topology
- Modulated Floquet Topological Insulators
- Topological properties of spin-triplet superconductors and the Fermi surface topology in the normal state
- Measurement of a topological edge invariant in a microwave network
- Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
- Two-body physics in the Su-Schrieffer-Heeger model
- Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
- Phase spectroscopy of topological invariants in photonic crystals
- Untying links through anti-parity-time-symmetric coupling