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 …

Recent progress on nonlinear properties of parity-time (PT)-symmetric systems is
comprehensively reviewed in this article. PT symmetry started out in non-Hermitian quantum …

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 …

One of the challenges of the modern photonics is to develop all‐optical devices enabling
increased speed and energy efficiency for transmitting and processing information on an …

Solitons, nonlinear self-trapped wavepackets, have been extensively studied in many and
diverse branches of physics such as optics, plasmas, condensed matter physics, fluid …

Controlling light transport in nonlinear active environments is a topic of considerable interest
in the field of optics. In such complex arrangements, of particular importance is to devise …

We show that a vapor of multilevel atoms driven by far-off-resonant laser beams, with the
possibility of interference of two Raman resonances, is highly efficient for creating parity-time …

Stability of solitons in parity-time (PT)-symmetric periodic potentials (optical lattices) is
analyzed in both one-and two-dimensional systems. First we show analytically that when the …

Families of analytical solutions are found for symmetric and antisymmetric solitons in a dual-
core system with Kerr nonlinearity and parity-time (PT)-balanced gain and loss. The crucial …

A mechanism for asymmetric transport which is based on parity-time-symmetric
nonlinearities is presented. We show that in contrast to the case of conservative …