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 …

Abstract The Jaynes‐Cummings model describes the coupling between photons and a
single two‐level atom in a simplified representation of light‐matter interactions. In circuit …

Enhancing optical nonlinearities so that they become appreciable on the single photon level
and lead to nonclassical light fields has been a central objective in quantum optics for many …

We study the nonlinear driven dissipative quantum dynamics of an array of optomechanical
systems. At each site of such an array, a localized mechanical mode interacts with a laser …

We use a microwave field to control the quantum state of optical photons stored in a cold
atomic cloud. The photons are stored in highly excited collective states (Rydberg polaritons) …

Quantum phase transitions are usually studied in terms of Hermitian Hamiltonians. However,
cold-atom experiments are intrinsically non-Hermitian because of spontaneous decay. Here …

We assess experimentally the suitability of coupled-transmission-line resonators for studies
of quantum phase transitions of light. We have measured devices with low photon hop** …

We determine the steady-state phases of a driven-dissipative Bose-Hubbard model,
describing, eg, an array of coherently pumped nonlinear cavities with a finite photon lifetime …

Many-body systems constructed of quantum-optical building blocks can now be realized in
experimental platforms ranging from exciton-polariton fluids to ultracold Rydberg gases …

Here, we report the experimental observation of a dynamical quantum phase transition in a
strongly interacting open photonic system. The system studied, comprising a Jaynes …