Geodesic
Kinetics of two-photon superradiance in the case of damped polarization
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 3, pp. 436-451 
A. A. Bakasov; N. N. Bogolyubov (Jr.); A. S. Shumovskii; V. I. Yukalov. Kinetics of two-photon superradiance in the case of damped polarization. Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 3, pp. 436-451. http://geodesic.mathdoc.fr/item/TMF_1987_72_3_a10/
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     author = {A. A. Bakasov and N. N. Bogolyubov (Jr.) and A. S. Shumovskii and V. I. Yukalov},
     title = {Kinetics of two-photon superradiance in the case of damped polarization},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {436--451},
     year = {1987},
     volume = {72},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_72_3_a10/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Dicke-type model with the interaction bilinear in field operators is considered. An exact hierarchy of kinetic equations is constructed which does not formally include dynamical Bose-operator. The elimination of Bose-operators is achieved using a conservation law for the model and a theorem about some special nonequilibrium averages. The theorem generalizes the well-known Bogoliubov lemma. It is proved under quite general conditions and is valid for the Bose as well as Fermi-operators. A nonequilibrium operator in these averages can be explicitely time-dependent or can have a multi-time form. A solution of the hierarchy in the case of damping polarisation shows that the pulse of the two-photon super-radiance in the small-sample system may fiave two commensurate maxima. The pulse of the one-photon super-radiance in such a system, as is well-known, has one maximum only.

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