A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

In recent years, notions drawn from non-Hermitian physics and parity–time (PT) symmetry
have attracted considerable attention. In particular, the realization that the interplay between …

In the past few years, concepts from non-Hermitian (NH) physics, originally developed within
the context of quantum field theories, have been successfully deployed over a wide range of …

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 introduce here the concept of acoustic parity-time (PT) symmetry and demonstrate the
extraordinary scattering characteristics of the acoustic PT medium. On the basis of exact …

The recent realization of topological phases in insulators and superconductors has
advanced the search for robust quantum technologies. The prospect to implement the …

We report the realization of a coherent perfect absorber, using a pair of passive resonators
coupled to a microwave transmission line in the background, which can completely absorb …

Parity-time (PT) symmetric systems experience phase transition between PT exact and
broken phases at exceptional point. These PT phase transitions contribute significantly to …

The Talbot effect, also referred to as self-imaging or lensless imaging, is of the phenomena
manifested by a periodic repetition of planar field distributions in certain types of wave fields …

One of the principal goals in the design of photonic crystals is the engineering of band gaps
and defect states. Here I describe the formation of topologically protected localized midgap …