Abstract
A Dicke type model with interaction bilinear in the field operators is considered. An exact hierarchy of kinetic equations in which the dynamical Bose operators formally do not occur is constructed. The Bose operators are eliminated by means of the conservation law inherent in the model and a theorem on nonequilibrium mean values of special form. The theorem is proved under general conditions and is valid for both Bose and Fermi operators. It is shown that the nonequilibrium operator which occurs in these mean values is arbitrary and may be either explicitly dependent on the time or be a many-time operator. The solution of the hierarchy of kinetic equations in the case of damped polarization shows that the pulse of two-photon superradiance of a concentrated system can have two comparable maxima. It is well known that the pulse of single-photon superradiance of a concentrated system can have only one maximum.
Published Version
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