This article reviews recent developments in the non-Hermitian skin effect (NHSE),
particularly on its rich interplay with topology. The review starts off with a pedagogical …

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 …

Skin effect, experimentally discovered in one dimension, describes the physical
phenomenon that on an open chain, an extensive number of eigenstates of a non-Hermitian …

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 …

BACKGROUND Singularities are critical points for which the behavior of a mathematical
model governing a physical system is of a fundamentally different nature compared to the …

Exceptional points are spectral singularities in open quantum and wave systems that exhibit
a strong spectral response to perturbations. This feature can be exploited for a new …

Sensors play an important part in many aspects of daily life such as infrared sensors in
home security systems, particle sensors for environmental monitoring and motion sensors in …

Nanophotonic engineering provides an effective platform to manipulate thermal emission on-
demand, enabling unprecedented heat management superior to conventional bulk …

A d-dimensional second-order topological insulator (SOTI) can host topologically protected
(d-2)-dimensional gapless boundary modes. Here, we show that a 2D non-Hermitian SOTI …

Exceptional points (EPs) are special spectral degeneracies of non-Hermitian Hamiltonians
that govern the dynamics of open systems. At an EP, two or more eigenvalues, and the …