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 …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

The Dicke model describes the coupling between a quantized cavity field and a large
ensemble of two‐level atoms. When the number of atoms tends to infinity, this model can …

In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …

We consider the Rabi Hamiltonian, which exhibits a quantum phase transition (QPT) despite
consisting only of a single-mode cavity field and a two-level atom. We prove QPT by deriving …

A phase transition describes the sudden change of state of a physical system, such as
melting or freezing. Quantum gases provide the opportunity to establish a direct link …

The Dicke model describing an ensemble of two-state atoms interacting with a single
quantized mode of the electromagnetic field (with omission of the A ̂ 2 term) exhibits a zero …

We investigate nonequilibrium phase transitions for driven atomic ensembles interacting
with a cavity mode and coupled to a Markovian dissipative bath. In the thermodynamic limit …

We demonstrate that the open quantum Rabi model (QRM) exhibits a second-order
dissipative phase transition (DPT) and propose a method to observe this transition with …

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 …