We analyze the optical properties of one-dimensional PT-symmetric structures of arbitrary
complexity. These structures violate normal unitarity (photon flux conservation) but are …

We develop the theory of a special type of scattering state in which a set of asymptotic
channels is chosen as inputs, and the complementary set is chosen as outputs, and there is …

We develop a rigorous, mathematically consistent description of PT-symmetric optical
systems by using second quantization. We demonstrate the possibility of significant …

With the discovery of PT-symmetric quantum mechanics, it was shown that even non-
Hermitian systems may exhibit entirely real eigenvalue spectra. This finding did not only …

Using a scattering matrix formalism, we derive the general scattering properties of optical
structures that are symmetric under a combination of parity and time reversal (PT). We …

We review quantum mechanical and optical pseudo-Hermitian systems with an emphasis on
PT-symmetric systems important for optics and electrodynamics. One of the most interesting …

In 1998, Bender and Boettcher found that a wide class of Hamiltonians, even though non-
Hermitian, can still exhibit entirely real spectra provided that they obey parity-time …

We experimentally demonstrate PT-symmetric optical lattices with periodical gain and loss
profiles in a coherently prepared four-level N-type atomic system. By appropriately tuning …

We propose a class of synthetic optical materials in which the refractive index satisfies n (−
x)=− n*(x). We term such systems antisymmetric parity-time (APT) structures. Unlike PT …

The observation that PT-symmetric Hamiltonians can have real-valued energy levels even if
they are non-Hermitian has triggered intense activities, with experiments, in particular …