Symmetry-Breaking Transition and Spectral Singularity in Coupled $\mathcal{P}\mathcal{T}$-Symmetric Quantum Potentials

Yu Jiang

We study the scattering properties of $N$ identical one-dimensional localized $\mathcal{P}\mathcal{T}$-symmetric potentials, connected in series as well as in parallel. We derive a general t…