Symmetry-Breaking Transition and Spectral Singularity in Coupled PT-Symmetric Quantum Potentials

2016/12/07 by Yu Jiang, Jiang, Yu
Materials Science · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics #Solid-state spectroscopy and crystallography

paper · pdf · doi:10.48550/arxiv.1612.02469

openalex publication_date 2016/12/07 · openalex created_date 2019/07/12 · openalex updated_date 2026/07/28

Abstract

We study the scattering properties of N identical one-dimensional localized PT-symmetric potentials, connected in series as well as in parallel. We derive a general transfer matrix formalism for parallel coupled quantum scatterers, and apply that theory to demonstrate that the spectral singularities and PT-symmetric transitions of single scattering cells may be observed in coupled systems, at the same or distinct values of the critical parameters, depending on the connection modes under which the scattering objects are coupled. We analyse the influences of the connection configuration on the related transport properties such as spectral singularities and anisotropic transmission resonances.

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