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 …

Recent research in topological photonics has not only proposed and realized novel
topological phenomena such as one‐way broadband propagation and robust transport of …

The discovery of topological phases in non-Hermitian open classical and quantum systems
challenges our current understanding of topological order. Non-Hermitian systems exhibit …

The physics of a photonic structure is commonly described in terms of its apparent geometric
dimensionality. On the other hand, with the concept of synthetic dimension, it is in fact …

This review presents the state of the art in strain and ripple-induced effects on the electronic
and optical properties of graphene. It starts by providing the crystallographic description of …

This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

Pursuing topological phases in natural and artificial materials is one of the central topics in
modern physical science and engineering. In classical magnetic systems, spin waves (or …

Topological phases have recently witnessed rapid progress in non-Hermitian systems. Here
we study a one-dimensional non-Hermitian Aubry-André-Harper (AAH) model with …

Theoretical and experimental studies suggest that both Hermitian and non-Hermitian
quasicrystals show localization due to the fractal spectrum and to the transition to diffusive …

We investigate the localization and topological transitions in a one-dimensional (interacting)
non-Hermitian quasiperiodic lattice, which is described by a generalized Aubry-André …