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 …

Twisted photons can be used as alphabets to encode information beyond one bit per single
photon. This ability offers great potential for quantum information tasks, as well as for the …

Quantum walks provide a framework for designing quantum algorithms that is both intuitive
and universal. To leverage the computational power of these walks, it is important to be able …

Abstract The Su–Schrieffer–Heeger (SSH) model, which captures the most striking transport
properties of the conductive organic polymer trans-polyacetylene, provides perhaps the …

Topological photonics is a rapidly emerging field of research in which geometrical and
topological ideas are exploited to design and control the behavior of light. Drawing …

Recently, several authors have investigated topological phenomena in periodically driven
systems of noninteracting particles. These phenomena are identified through analogies …

Quantum walks, the quantum mechanical counterpart of classical random walks, is an
advanced tool for building quantum algorithms that has been recently shown to constitute a …

The unrelated discoveries of quasicrystals and topological insulators have in turn
challenged prevailing paradigms in condensed-matter physics. We find a surprising …