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We study the scattering properties of $N$ identical one-dimensional localized$\mathcal{PT}$-symmetric potentials, connected in series as well as inparallel. We derive a general transfer matrix formalism for parallel coupledquantum scatterers, and apply that theory to demonstrate that the spectralsingularities and $\mathcal{PT}$-symmetric transitions of single scatteringcells may be observed in coupled systems, at the same or distinct values of thecritical parameters, depending on the connection modes under which thescattering objects are coupled. We analyse the influences of the connectionconfiguration on the related transport properties such as spectralsingularities and anisotropic transmission resonances.

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