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 …

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

We study the Hatano-Nelson model, ie, a one-dimensional non-Hermitian chain of spinless
fermions with nearest-neighbor nonreciprocal hop**, in the presence of repulsive nearest …

Many-body unitary dynamics interspersed with repeated measurements display a rich
phenomenology hallmarked by measurement-induced phase transitions. Employing …

We consider the dynamics of the non-Hermitian Su-Schrieffer-Heeger model arising as the
no-click limit of a continuously monitored free fermion chain where particles and holes are …

The interplay between unitary dynamics and local quantum measurements results in
unconventional nonunitary dynamical phases and transitions. In this paper we investigate …

The interplay between dissipation, topology, and sensitivity to boundary conditions has
recently attracted tremendous amounts of attention at the level of effective non-Hermitian …

Understanding the extreme sensitivity of the eigenvalues of non-Hermitian Hamiltonians to
the boundary conditions is of great importance when analyzing non-Hermitian systems, as it …

We uncover the very rich graph topology of generic bounded non-Hermitian spectra, distinct
from the topology of conventional band invariants and complex spectral winding. The graph …

We study measurement-induced symmetry-protected topological (SPT) order in a wide class
of quantum random circuit models by combining calculations within the stabilizer formalism …