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 …

Exploiting the interplay between gain, loss and the coupling strength between different
optical components creates a variety of new opportunities in photonics to generate, control …

Recently, exceptional points, a degeneracy of open wave systems, have been observed in
photonics, acoustics, and electronics. They have mainly been realized as a degeneracy of …

Non-Hermitian optics is a burgeoning field at the intersection of quantum physics,
electrodynamics, and nanophotonics. It provides a new perspective of the role of gain and …

In the past 20 years, impressive progress has been made both experimentally and
theoretically in superconducting quantum circuits, which provide a platform for manipulating …

Acoustic resonances in open systems, which are usually associated with resonant modes
characterized by complex eigenfrequencies, play a fundamental role in manipulating …

Initially proposed to achieve strong noise isolation levels beyond the mass-density law,
acoustic metamaterials (AMMs) have now overturned the conventional views in all aspects …

Acoustic waves are versatile on-chip information carriers that can be used in applications
such as microwave filters and transducers. Nonreciprocal devices, in which the transmission …

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

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 …