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 …

The interaction of light and matter at the single-photon level is of central importance in
various fields of physics, including, eg, condensed matter physics, astronomy, quantum …

The interaction between quantized electromagnetic fields in cavities and natural or artificial
atoms has played a crucial role in developing our understanding of light-matter interactions …

The formalism for non-Hermitian quantum systems sometimes blurs the underlying physics.
We present a systematic study of the vielbeinlike formalism which transforms the Hilbert …

The Dicke model, which describes the dipolar coupling between N two-level atoms and a
quantized electromagnetic field, seemingly violates gauge invariance in the presence of …

We consider a model of free fermions in a ladder geometry coupled to a non-uniform cavity
mode via Peierls substitution. Since the cavity mode generates a magnetic field, no-go …

The prototypical system constituted by a two-level atom interacting with a quantized single-
mode electromagnetic field is described by the quantum Rabi model (QRM). The QRM is …

A quantum dipole interacting with an optical cavity is one of the key models in cavity
quantum electrodynamics (cavity-QED). To treat this system theoretically, the typical …

We introduce a gauge-invariant model of planar, square molecules coupled to a quantized
spatially varying cavity electromagnetic vector potential A ̂ (r). Specifically, we choose a …

The loss of gauge invariance in models of light-matter interaction which arises from material
and photonic space truncation can pose significant challenges to conventional quantum …