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 …

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 …

Systems with non-Hermitian skin effects are very sensitive to the imposed boundary
conditions and lattice size, and thus an important question is whether non-Hermitian skin …

We propose a general analytic method to study the localization transition in one-
dimensional quasicrystals with parity-time (PT) symmetry, described by complex …

By analyzing the Lyapunov exponent (LE), we develop a rigorous, fundamental scheme for
the study of general non-Hermitian quasicrystals with both a complex phase factor and …

We perform a systematic symmetry classification of many-body Lindblad superoperators
describing general (interacting) open quantum systems coupled to a Markovian …

Knots have a twisted history in quantum physics. They were abandoned as failed models of
atoms. Only much later was the connection between knot invariants and Wilson loops in …

We investigate the localization-delocalization transition in one-dimensional non-Hermitian
quasiperiodic lattices with exponential short-range hopping, which possess parity-time (PT) …

We uncover a topological classification applicable to open fermionic systems governed by a
general class of Lindblad master equations. These “quadratic Lindbladians” can be …