2016/03/22 by W D Heiss, W. D. Heiss, Günter Wunner +1
Mathematics · Physics and Astronomy · #Classical mechanics #Equidistant #Focus (optics) #Function (biology) #Geometry #Mathematical analysis #Mathematics #Nonlinear Photonic Systems #Optics #Order (exchange) #Physics #Point (geometry) #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Realization (probability) #Singularity #Theoretical physics #Wave function #quant-ph
paper · pdf · doi:10.1088/1751-8113/49/49/495303
10 pages, 3 figures submitted for publication
arxiv created 2016/03/22 · openalex publication_date 2016/11/17 · arxiv updated 2016/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A \cal PT -symmetric model for three interacting wave guides is investigated. Each wave guide is represented by an attractive δ-function potential being in equidistant positions. The two outer potentials are complex describing loss and gain, respectively. The real parts of the outer potentials are assumed to be equal. The major focus of the study lies on the occurrence of an exceptional point of third order and the physical effects of such singularity. While some results resemble those from similar studies with two wave guides, the three wave guides appear to have a richer structure. Emphasis is placed on the fine tuning in the approach of the EP3 as this appears to be a particular challenge for an experimental realization.