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 synergy between non-Hermitian concepts and topological ideas have led to very fruitful
activity in the recent years. Their interplay has resulted in a wide variety of new non …

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

We investigate the entanglement dynamics of the non-Hermitian Aubry-André-Harper chain.
The results reveal that by increasing quasiperiodic strength, a phase transition occurs from …

In the present study, the interplay among interaction, topology, quasiperiodicity, and non-
Hermiticity is studied. The hard-core bosons model on a one-dimensional lattice with …

Noninteracting particles in non-Hermitian quasicrystals display localization-delocalization
and spectral phase transitions in complex energy plane that can be characterized by point …

Non-Hermitian (NH) physics predicts open quantum system dynamics with unique
topological features such as exceptional points and the NH skin effect. We show that this …

Non-Hermiticity and dephasing, collaborating in an unusual wave-packet dynamics, realize
unconventional entanglement evolution in a disordered, interacting, and asymmetric …

Non-Hermitian systems have gained a lot of interest in recent years. However, notions of
chaos and localization in such systems have not reached the same level of maturity as in the …

The entanglement dynamics in a non-Hermitian quantum system is studied numerically and
analyzed from the viewpoint of quasiparticle picture. As a concrete model, we consider a …