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 study of open quantum systems–microscopic systems exhibiting quantum coherence
that are coupled to their environment–has become increasingly important in the past years …

The notion of non-Hermitian optics and photonics rooted in quantum mechanics and
photonic systems has recently attracted considerable attention ushering in tremendous …

We present a novel generic framework to approximate the nonequilibrium steady states of
dissipative quantum many-body systems. It is based on the variational minimization of a …

The subnanoscale size of typical diatomic molecules hinders direct optical access to their
constituents. Rydberg macrodimers—bound states of two highly excited Rydberg atoms …

We investigate the transport of excitations through a chain of atoms with nonlocal dissipation
introduced through coupling to additional short-lived states. The system is described by an …

Open many-body quantum systems have attracted renewed interest in the context of
quantum information science and quantum transport with biological clusters and ultracold …

We show that the quantum Zeno effect gives rise to the Hall effect by tailoring the Hilbert
space of a two-dimensional lattice system into a single Bloch band with a nontrivial Berry …

Trap** ultracold atoms in optical lattices enabled numerous breakthroughs uniting several
disciplines. Coupling these systems to quantized light leads to a plethora of new …

Quantum reaction-limited reaction–diffusion dynamics of noninteracting Bose gases -
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