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 …

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 …

The Jaynes–Cummings Model (JCM) has recently been receiving increased attention as
one of the simplest, yet intricately nonlinear, models of quantum physics. Emphasising the …

We provide a general protocol to measure out-of-time-order correlation functions. These
correlation functions are of broad theoretical interest for diagnosing the scrambling of …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

Insights into complex phenomena in quantum matter can be gained from simulation
experiments with ultracold atoms, especially in cases where theoretical characterization is …

Optical cavity QED provides a platform with which to explore quantum many-body physics in
driven-dissipative systems. Single-mode cavities provide strong, infinite-range photon …

Can a gas behave like a crystal? Supersolidity is an intriguing and challenging state of
matter that combines key features of superfluids and crystals. Predicted a long time ago, its …

The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as
a quantum signature of classical chaos. The growth rate is expected to coincide with the …

Quantum chaos refers to signatures of classical chaos found in the quantum domain.
Recently, it has become common to equate the exponential behavior of out-of-time order …