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Hybrid exceptional point and its dynamical encircling in a two-state system

2017/01/31 by Xu‐Lin Zhang, Xu-Lin Zhang, Shubo Wang +3
Mathematics · Physics and Astronomy · #Classical mechanics #Condensed matter physics #Degeneracy (biology) #Geometry #Mathematics #Nonlinear Photonic Systems #Parameter space #Physics #Point (geometry) #Point reflection #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Symmetry (geometry) #Theoretical physics #Topology (electrical circuits) #physics.class-ph #physics.optics

paper · pdf · doi:10.1103/physreva.98.033810

published as Phys. Rev. A 96, 022112 (2017) · 43 pages, 23 figures

arxiv created 2017/05/14 · openalex created_date 2017/05/26 · openalex publication_date 2018/09/10 · arxiv updated 2018/09/26 · openalex updated_date 2026/08/05

Abstract

Hybrid exceptional points (HEPs) are non-Hermitian degeneracies that exhibit different dispersion relations (e.g., linear or square-root) along different directions in the parameter space. Here, we show that a two-state system consisting of coupled ferromagnetic waveguides applied with a bias magnetic field can support the presence of a HEP. A configuration is designed to dynamically encircle the HEP, showing a nonchiral behavior due to the unique topological structure of energy surfaces around the HEP. This is in contrast to the chiral dynamics found when an exceptional point is encircled dynamically. We performed numerical simulations and microwave experiments to demonstrate the topological transition enabled by the HEP in the proposed system.

Citations