Cooperative interaction of atoms with a radiation field: Evolution of the field density matrix

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Abstract
The evolution of the radiation field in a model for interacting radiation and matter in cooperative-atom states is studied via the density matrix. The exact treatment possible for small numbers of cooperating atoms reveals effects not apparent from approximation treatments for long interaction times and/or strong interactions. The superradiance concept needs modification under these conditions, and the photon statistics can be greatly modified by the interaction. The representation for the density matrix uses eigensolutions of the model obtained earlier.