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 …

Recent interest in aspects common to quantum information and condensed matter has
prompted a flurry of activity at the border of these disciplines that were far distant until a few …

Written by major contributors to the field who are well known within the community, this is the
first comprehensive summary of the many results generated by this approach to quantum …

We derive analytical results for various quantities related to the excited-state quantum phase
transitions in a class of Dicke superradiance models in the semiclassical limit. Based on a …

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 …

By using extended bosonic coherent states, a technique to solve the Dicke model exactly is
proposed in the numerical sense. The accessible system size is two orders of magnitude …

We study the quantum phase transition of the Dicke model in the classical oscillator limit,
where it occurs already for finite spin length. In contrast to the classical spin limit, for which …

We investigate the quantum phase transition in the anisotropic Dicke model through an
examination of the quantum geometric tensor of the ground state. In this analysis, two …

We discuss the behaviour of the entanglement entropy of the ground state in various
collective systems. Results for general quadratic two-mode boson models are given …

Within the numerically exact solution to the Dicke model proposed previously, we study the
quantum criticality in terms of the ground-state (GS) energy, fidelity, and the order parameter …