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 …

The experimental realization of a Kerr frequency comb represented the convergence of
research in materials, physics, and engineering. This symbiotic relationship continues to …

Exceptional points (EPs) correspond to degeneracies of open systems. These are attracting
much interest in optics, optoelectronics, plasmonics, and condensed matter physics. In the …

Nontrivial spectral properties of non-Hermitian systems can lead to intriguing effects with no
counterparts in Hermitian systems. For instance, in a two-mode photonic system, by …

Nonreciprocal devices operating at the single-photon level are fundamental elements for
quantum technologies. Because magneto-optical nonreciprocal devices are incompatible for …

Recently, apparent nonphysical implications of non-Hermitian quantum mechanics (NHQM)
have been discussed in the literature. In particular, the apparent violation of the no-signaling …

In the last few years, the great utility of exceptional points in sensing linear perturbations has
been recognized. However, physical systems are inherently anharmonic and macroscopic …

Understanding the linear response of any system is the first step towards analyzing its linear
and nonlinear dynamics, stability properties, as well as its behavior in the presence of noise …

Usually, when investigating exceptional points (EPs) of an open Markovian bosonic system,
one deals with spectral degeneracies of a non-Hermitian Hamiltonian (NHH), which can …

Recent studies on exceptional points (EPs) in non-Hermitian optical systems have revealed
unique traits, including unidirectional invisibility, chiral mode switching and laser self …