We review the recent developments and the current status in the field of quantum-gas cavity
QED. Since the first experimental demonstration of atomic self-ordering in a system …

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 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 …

Floquet engineering is the concept of tailoring a system by a periodic drive, and it is
increasingly employed in many areas of physics. Ultracold atoms in optical lattices offer a …

Gauge fields that appear in models of high-energy and condensed-matter physics are
dynamical quantum degrees of freedom due to their coupling to matter fields. Since the …

In the fundamental laws of physics, gauge fields mediate the interaction between charged
particles. An example is the quantum theory of electrons interacting with the electromagnetic …

Topological gauge theories describe the low-energy properties of certain strongly correlated
quantum systems through effective weakly interacting models,. A prime example is the …

Gauge field theories play a central role in modern physics and are at the heart of the
Standard Model of elementary particles and interactions. Despite significant progress in …

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 …

Quantum simulation has the potential to investigate gauge theories in strongly interacting
regimes, which are currently inaccessible through conventional numerical techniques. Here …