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 …

After many years of development of the basic tools, quantum simulation with ultracold atoms
has now reached the level of maturity at which it can be used to investigate complex …

The central idea of this review is to consider quantum field theory models relevant for
particle physics and replace the fermionic matter in these models by a bosonic one. This is …

Quantum spin liquids may be considered'quantum disordered'ground states of spin systems,
in which zero-point fluctuations are so strong that they prevent conventional magnetic long …

A fundamental assumption in statistical physics is that generic closed quantum many-body
systems thermalize under their own dynamics. Recently, the emergence of many-body …

A particular strength of ultracold quantum gases is the range of versatile detection methods
that are available. As they are based on atom–light interactions, the whole quantum optics …

Insights from spectroscopic experiments led to the development of quantum mechanics as
the common theoretical framework for describing the physical and chemical properties of …

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 …

Ultracold quantum gases offer a unique setting for quantum simulation of interacting many-
body systems. The high degree of controllability, the novel detection possibilities and the …

Gauge theories constitute the basis of the Standard Model and provide useful descriptions of
various phenomena in condensed matter. Realizing gauge theories on tunable tabletop …