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

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 …

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 …

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 …

The bulk-boundary correspondence is among the central issues of non-Hermitian
topological states. We show that a previously overlooked “non-Hermitian skin effect” …

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 …

Recent advancements in computational inverse-design approaches—algorithmic
techniques for discovering optical structures based on desired functional characteristics …

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 …

Non-Hermitian topological effects are of crucial importance both in fundamental physics and
applications. Here we discover the gain-loss-induced hybrid second-order skin-topological …

We develop the topological band theory for systems described by non-Hermitian
Hamiltonians, whose energy spectra are generally complex. After generalizing the notion of …