# Quantized Radiation States from the Infinite Dicke Model

### Reinhard Honegger

Universität Tübingen, Germany### Alfred Rieckers

Universität Tübingen, Germany

## Abstract

By interpreting infinitely many two-level atoms as a mean field quantum lattice system in a recent paper the time evolution of the Dicke Maser model has been elaborated in terms of operator algebraic methods. Using these results, here the emitted radiation of the infinite Dicke model is investigated. It is shown how the collective behaviour of the atoms influences the quantized radiation, which for large times becomes classically coherent (in the sense of Glauber). The field modes which are (approximately) resonant with the level-splitting energy of the atoms are found to be the essential part of the generated coherent light, and thereby determine its macroscopic nature. Furthermore, the destruction and revival of coherence, the mean number of the emitted photons during the time evolution, as well as their spatial distribution are discussed.

## Cite this article

Reinhard Honegger, Alfred Rieckers, Quantized Radiation States from the Infinite Dicke Model. Publ. Res. Inst. Math. Sci. 30 (1994), no. 1, pp. 111–138

DOI 10.2977/PRIMS/1195166278