Classical and Quantum Properties of the Spin-Boson Dicke Model: Chaos, Localization, and Scarring

TL;DR

This review explores the classical and quantum aspects of the Dicke model, emphasizing chaos, localization, and scarring phenomena, and highlights recent advances in understanding its phase transitions and dynamics.

Contribution

It provides a comprehensive overview of the classical and quantum properties of the spin-boson Dicke model, including chaos, localization, and scarring, from both theoretical and experimental perspectives.

Findings

Analysis of chaos onset in the Dicke model

Insights into localization phenomena in quantum states

Identification of scarring effects in eigenstates

Abstract

This review article describes major advances associated with the Dicke model, starting in the 1950s when it was introduced to explain the transition from a normal to a superradiant phase. Since then, this spin-boson interacting model has raised significant theoretical and experimental interest in various contexts. The present review focuses on the isolated version of the model and covers properties and phenomena that are better understood when seen from both the classical and quantum perspectives, in particular, the onset of chaos, localization, and scarring.