The past decades have witnessed the flourishing of non-Hermitian physics in non-
conservative systems, leading to unprecedented phenomena of unidirectional invisibility …

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 combination of broken Hermiticity and band topology in physical systems unveils a
novel bound state dubbed as the non-Hermitian skin effect (NHSE). Active control that …

Recent years have seen remarkable development in open quantum systems effectively
described by non-Hermitian Hamiltonians. A unique feature of non-Hermitian topological …

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 …

While Hermiticity lies at the heart of quantum mechanics, recent experimental advances in
controlling dissipation have brought about unprecedented flexibility in engineering non …

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 …

In non-Hermitian crystals showing the non-Hermitian skin effect, ordinary Bloch band theory
and Bloch topological invariants fail to correctly predict energy spectra, topological boundary …

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

We address the conditions required for a Z topological classification in the most general form
of the non-Hermitian Su-Schrieffer-Heeger (SSH) model. Any chirally symmetric SSH model …