Abstract

The Dicke model is a fundamental model of quantum optics, which describes the interaction between light and matter. In the Dicke model, the light component is described as a single quantum mode, while the matter is described as a set of two-level systems. When the coupling between the light and matter crosses a critical value, the Dicke model shows a mean-field phase transition to a superradiant phase. This transition belongs to the Ising universality class and was realized experimentally in cavity quantum electrodynamics experiments. Although the superradiant transition bears some analogy with the lasing instability, these two transitions belong to different universality classes.

Highlights

  • The Dicke model is a fundamental model of quantum optics, which describes the interaction between light and matter

  • In the Dicke model, the light component is described as a single quantum mode, while the matter is described as a set of two-level systems

  • The Dicke model is closely related to other models of quantum optics

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Summary

Dicke model

The Dicke model is a fundamental model of quantum optics, which describes the interaction between light and matter. In the Dicke model, the light component is described as a single quantum mode, while the matter is described as a set of two-level systems. When the coupling between the light and matter crosses a critical value, the Dicke model shows a mean-field phase transition to a superradiant phase. This transition belongs to the Ising universality class and was realized experimentally in cavity quantum electrodynamics experiments. The superradiant transition bears some analogy with the lasing instability, these two transitions belong to different universality classes

The model and its symmetries
The Hamiltonian of the Dicke model is
Related models
The superradiant phase transition
The open Dicke model
Decay rate κ
The superradiant transition and Dicke superradiance
Experimental realizations of the Dicke model
The generalized Dicke model and lasing
Full Text
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