Exceptional points (EPs) arising in non-Hermitian systems have led to a variety of intriguing
wave phenomena, and have been attracting increased interest in various physical platforms …

Non-Hermitian theory is a theoretical framework used to describe open systems. It offers a
powerful tool in the characterization of both the intrinsic degrees of freedom of a system and …

Spintronics and quantum information science are two promising candidates for innovating
information processing technologies. The combination of these two fields enables us to build …

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 …

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 …

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 …

Topological features embedded in ancient braiding and knotting arts endow significant
impacts on our daily life and even cutting-edge science. Recently, fast growing efforts are …

The current understanding of the role of topology in non-Hermitian (NH) systems and its far-
reaching physical consequences observable in a range of dissipative settings are reviewed …

The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Out of equilibrium, a lack of reciprocity is the rule rather than the exception. Non-reciprocity
occurs, for instance, in active matter,,,,–, non-equilibrium systems,–, networks of neurons …