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 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 …

Nearly one century after the birth of quantum mechanics, parity–time symmetry is
revolutionizing and extending quantum theories to include a unique family of non-Hermitian …

Disorder, which qualitatively describes some measure of irregularities in spatial patterns, is
ubiquitous in many-body systems, equilibrium and non-equilibrium states of matter, network …

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 …

The nonlinear scaling of complexity with the increased number of components in integrated
photonics is a major obstacle impeding large-scale, phase-locked laser arrays. Here, we …

Scaling up the radiance of coupled laser arrays has been a long-standing challenge in
photonics. In this study, we demonstrate that notions from supersymmetry—a theoretical …

The realization of higher-order exceptional points (HOEPs) can lead to orders of magnitude
enhancement in light-matter interactions beyond the current fundamental limits …

Crystals are ubiquitous in nature and are at the heart of material research, solid-state
science, and quantum physics. Unfortunately, the controllability of solid-state crystals is …

Originally developed in the context of quantum field theory, the concept of supersymmetry
can be used to systematically design a new class of optical structures. In this work, we …