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 overview the concept of dynamical phase transitions (DPTs) in isolated quantum
systems quenched out of equilibrium. We focus on non-equilibrium transitions characterized …

Interactions between atoms and light in optical cavities provide a means of investigating
collective (many-body) quantum physics in controlled environments. Such ensembles 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 …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

The Dicke model—a paradigmatic example of superradiance in quantum optics—describes
an ensemble of atoms which are collectively coupled to a leaky cavity mode. As a result of …

Controlling the topological properties of quantum matter is a major goal of condensed matter
physics. A major effort in this direction has been devoted to using classical light in the form of …

It is widely recognized that entanglement generation and dynamical chaos are intimately
related in semiclassical models via the process of decoherence. In this paper, we propose a …

A proposed paradigm for out-of-equilibrium quantum systems is that an analog of quantum
phase transitions exists between parameter regimes of qualitatively distinct time-dependent …

We demonstrate that the prethermal regime of periodically driven (Floquet), classical many-
body systems can host nonequilibrium phases of matter. In particular, we show that there …