The spontaneous breaking of time-translation symmetry has led to the discovery of a new
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …

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 …

Quantum technologies exploit entanglement to revolutionize computing, measurements, and
communications. This has stimulated the research in different areas of physics to engineer …

A mobility edge, a critical energy separating localized and extended excitations, is a key
concept for understanding quantum localization. The Aubry-André (AA) model, a paradigm …

Atomtronics deals with matter-wave circuits of ultracold atoms manipulated through
magnetic or laser-generated guides with different shapes and intensities. In this way, new …

Photonic synthetic materials provide an opportunity to explore the role of microscopic
quantum phenomena in determining macroscopic material properties. There are, however …

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

Atomtronics is an emerging field that aims to manipulate ultracold atom moving in matter-
wave circuits for fundamental studies in both quantum science and technological …

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

In this review we discuss the works in the area of quantum simulation and many-body
physics with light, from the early proposals on equilibrium models to the more recent works …