In this review recent investigations are summarized of many-body quantum systems with
long-range interactions, which are currently realized in Rydberg atom arrays, dipolar …

Advances in isolating, controlling and entangling quantum systems are transforming what
was once a curious feature of quantum mechanics into a vehicle for disruptive scientific and …

Gauge theories form the foundation of modern physics, with applications ranging from
elementary particle physics and early-universe cosmology to condensed matter systems. We …

The modern description of elementary particles, as formulated in the standard model of
particle physics, is built on gauge theories. Gauge theories implement fundamental laws of …

Gauge theories are the cornerstone of our understanding of fundamental interactions among
elementary particles. Their properties are often probed in dynamical experiments, such as …

The topological θ-angle is central to several gauge theories in condensed-matter and high-
energy physics. For example, it is responsible for the strong CP problem in quantum …

Strongly coupled gauge theories far from equilibrium may exhibit unique features that could
illuminate the physics of the early universe and of hadron and ion colliders. Studying real …

Laser-cooled and trapped atomic ions form an ideal standard for the simulation of interacting
quantum spin models. Effective spins are represented by appropriate internal energy levels …

Gauge theories are of paramount importance in our understanding of fundamental
constituents of matter and their interactions. However, the complete characterization of their …

Solving strongly coupled gauge theories in two or three spatial dimensions is of fundamental
importance in several areas of physics ranging from high-energy physics to condensed …