We study a simple open quantum system with a PT-symmetric defect potential as a prototype
in order to illustrate a number of general features of PT-symmetric open quantum systems; …

In this work, we study the non-Hermitian Swanson Hamiltonian, particularly the non-parity-
time symmetry phase. We use the formalism of Gel'fand triplet to construct the generalized …

We discuss the anomalous behavior of the Faraday (transmission) and polar Kerr (reflection)
rotation angles of the propagating light, in finite periodic PT-symmetric structures, consisting …

We derive certain identities satisfied by the left/right-reflection and transmission amplitudes,
$ R^{l/r}(k) $ and $ T (k) $, of general ${\cal PT} $-symmetric scattering potentials. We use …

Existence of a spectral singularity (SS) in the spectrum of a Schrödinger operator with a non-
Hermitian potential requires exact matching of parameters of the potential. We provide a …

Scattering coefficients can diverge at spectral singularities. In such situation, the stationary
solution becomes a laser solution with outgoing waves only. We explore a parity-time (PT) …

We establish necessary and sufficient conditions for localized complex potentials in the
Schrödinger equation to enable spectral singularities (SSs) and show that such potentials …

We outline a global approach to scattering theory in one dimension that allows for the
description of a large class of scattering systems and their P P-, T T-, and PT P T-symmetries …

We study the spectrum, eigenstates and transport properties of a simple PT-symmetric
model consisting in a finite, complex, square well potential with a delta potential at the origin …

Recently, interest in scattering from complex non-Hermitian potentials has been renewed
both theoretically and experimentally. When a potential becomes complex, several new …