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 …

This article presents a review of recent developments on various aspects of the quantum
Rabi model. Particular emphasis is given on the exact analytic solution obtained in terms of …

The Rabi model is a paradigm for interacting quantum systems. It couples a bosonic mode to
the smallest possible quantum model, a two-level system. I present the analytical solution …

We consider a system composed of a two-level system (ie, a qubit) and a harmonic oscillator
in the ultrastrong-coupling regime, where the coupling strength is comparable to the qubit …

We generalize the dispersive theory of the Jaynes-Cummings model beyond the frequently
employed rotating-wave approximation (RWA) in the coupling between the two-level system …

Phase transitions are commonly held to occur only in the thermodynamical limit of a large
number of system components. Here, we exemplify at the hand of the exactly solvable …

In this paper we analyze properties of the phase transition that appears in a set of quantum
optical models; Dicke, Tavis–Cummings, quantum Rabi, and finally the Jaynes–Cummings …

We review recent developments regarding the quantum dynamics and many-body physics
with light, in superconducting circuits and Josephson analogues, by analogy with atomic …

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 …

We propose a quantum simulation of a two-level atom coupled to a single mode of the
electromagnetic field in the ultrastrong-coupling regime based upon resonant Raman …