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 …

The physics of one-dimensional interacting bosonic systems is reviewed. Beginning with
results from exactly solvable models and computational approaches, the concept of bosonic …

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 …

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 …

This is a review of recent developments in Monte Carlo methods in the field of ultracold
gases. For bosonic atoms in an optical lattice we discuss path-integral Monte Carlo …

The interplay of interactions, symmetries, and gauge fields usually leads to intriguing
quantum many-body phases. To explore the nature of emerging phases, we study a …

We report the first detection of the Higgs-type amplitude mode using Bragg spectroscopy in
a strongly interacting condensate of ultracold atoms in an optical lattice. By the comparison …

During the last decade, many exciting phenomena have been experimentally observed and
theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid …

Systems of strongly interacting atoms and photons, which can be realized wiring up
individual cavity QED systems into lattices, are perceived as a new platform for quantum …

Coupled quantum electrodynamics (QED) cavities have been recently proposed as new
systems to simulate a variety of equilibrium and nonequilibrium many-body phenomena. We …