Recent experiments have demonstrated that light and matter can mix together to an extreme
degree, and previously uncharted regimes of light-matter interactions are currently being …

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 …

We propose the quantum simulation of the quantum Rabi model in all parameter regimes by
means of detuned bichromatic sideband excitations of a single trapped ion. We show that …

We propose an orbital exchange-correlation functional for applying time-dependent density
functional theory to many-electron systems coupled to cavity photons. The time nonlocal …

We investigate the quantum phase transition of the anisotropic quantum Rabi model, in
which the rotating and counterrotating terms are allowed to have different coupling …

The quantum Rabi model is in the scientific spotlight due to the recent theoretical and
experimental progress. Nevertheless, a full-fledged classification of its coupling regimes …

We propose a cavity QED approach to describe light-matter interaction of an infrared cavity
field with an anharmonic vibration of a single nonpolar molecule. Starting from a generic …

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

We develop a method to find analytical solutions for the eigenstates of the quantum Rabi
model. These include symmetric, anti-symmetric and asymmetric analytic solutions given in …