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 …

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 …

This is an introductory review of the physics of quantum spin liquid states. Quantum
magnetism is a rapidly evolving field, and recent developments reveal that the ground states …

This is a review on theoretical and experimental studies on dielectric microcavities, which
play a significant role in fundamental and applied research. The basic concepts and theories …

Non-Hermitian systems distinguish themselves from Hermitian systems by exhibiting a
phase transition point called an exceptional point (EP), at which two eigenstates coalesce …

Non-Hermitian physical systems have attracted considerable attention lately for their
unconventional behaviour around exceptional points (EPs)—spectral singularities at which …

Exceptional points are singularities of open systems, and among their many remarkable
properties, they provide a way to enhance the responsivity of sensors. Here we show that …

We present a renormalization-group theory for the onset of Ising-nematic order in a Fermi
liquid in two spatial dimensions. This is a quantum phase transition, driven by electron …

We study the low-energy effective theory for a non-Fermi-liquid state in 2+ 1 dimensions,
where a transverse U (1) gauge field is coupled with a patch of Fermi surface with N flavors …

Non-Hermitian degeneracies, also known as exceptional points (EPs), have been the focus
of much attention due to their singular eigenvalue surface structure. Nevertheless, as …