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 …

Quantum master equations are an invaluable tool to model the dynamics of a plethora of
microscopic systems, ranging from quantum optics and quantum information processing to …

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 …

The photon statistics emitted by a large variety of light‐matter systems under weak coherent
driving can be understood, to lowest order in the driving, in the framework of an admixture of …

We study the coherence and fluorescence properties of the coherently pumped and
dissipative Jaynes-Cummings-Hubbard model describing polaritons in a coupled-cavity …

We present a numerical method for the study of correlated quantum impurity problems out of
equilibrium, which is particularly suited to address steady-state properties within dynamical …

Many-body physics is traditionally concerned with systems of interacting massive particles.
Recent studies of effective interactions between photons, induced in the circuit quantum …

We propose a scheme for driving a dimer of spatially separated qubits into a maximally
entangled nonequilibrium steady state. A photon-mediated retarded interaction between the …

We systematically extend Bogoliubov theory beyond the mean-field approximation of the
Bose-Hubbard model in the superfluid phase. Our approach is based on the time-dependent …