| A compact review of non-Hermitian (or rather cryptohermitian) quantum lattice constructions will be delivered, with particular emphasis on the study of several classes of non-numerical, exactly solvable discrete models. Both the bound-state and scattering dynamical regime will be covered. Main formal attention will be paid to the constructive selection of metrics our of a complete menu. In the study of spectra, new progress will be reported in the strong-coupling and close-to-exceptional-point dynamical regime. |
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