Kinetics of two-photon superradiance in the case of damped polarization
Teoretičeskaâ i matematičeskaâ fizika, Tome 72 (1987) no. 3, pp. 436-451 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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     title = {Kinetics of two-photon superradiance in the case of damped polarization},
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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/

[1] Bogolyubov N. N. (ml.), Fam Le Kien, Shumovskii A. S., TMF, 52:3 (1982), 423–430 | MR

[2] Bogolyubov N. N. (ml.), Fam Le Kien, Shumovskii A. S., TMF, 53:1 (1982), 108–113 | MR

[3] Bogolubov N. N. (Jr.), Fam Le Kien, Shumovsky A. S., Physica A, 128:1–2 (1984), 82–98 | DOI | MR

[4] Bogolyubov N. N. (ml.), Moldoyarov A. A., Sorokina E. M., Shumovskii A. S., Tr. III mezhdunarodnogo simpoziuma po izbrannym problemam statisticheskoi mekhaniki, T. 1, 127–130; Препринт Д17-84-850, ОИЯИ, Дубна, 1984

[5] Bogolyubov N. N., Bogolyubov N. N. (ml.), EChAYa, 11:2 (1980), 245–300 | MR

[6] Bogolubov N. N. (Jr.), Fam Le Kien, Shumovsky A. S., Physica A, 130:1–2 (1985), 273–291 | DOI | MR

[7] McNeil K. J., Walls D. F., J. Phys. A, 8:1 (1975), 104–110 | DOI

[8] McNeil K. J., Walls D. F., J. Phys. A, 8:1 (1975), 111–119 | DOI

[9] Bogolyubov N. N. (ml.), Moldoyarov A. A., Shumovskii A. S., O fazovom perekhode v modeli Dikke s dvukhfotonnym vzaimodeistviem, Preprint OIYaI, 617-85-414, OIYaI, Dubna, 1985

[10] Aliskenderov E. I., Moldoyarov A. A., Shumovskii A. S., “Nelineinaya dvukhmodovaya model Dikke”, Kratkie soobscheniya OIYaI, no. 10, OIYaI, Dubna, 1985, 26–35 | MR

[11] Akhmeteli A. M., Meleshko A. N., Shumovskii A. S., DAN SSSR, 256:5 (1981), 1094–1096

[12] Bogolyubov N. N. (ml.), Plechko V. N., Shumovskii A. S., EChAYa, 14:6 (1983), 1443–1499 | MR

[13] Akhmanov S. A., Koroteev N. I., UFN, 123:3 (1977), 405–471 | DOI

[14] Blombergen N., Nelineinaya spektroskopiya, Mir, M., 1979

[15] Gross M., Haroche S., Phys. Rep., 93:5 (1982), 301–396 | DOI

[16] Solomatin V. S. Meleshko A. N., Kvantovaya elektronika, 6:7(85) (1979), 1528–1530

[17] Stratonovich R. L., Nelineinaya neravnovesnaya termodinamika, Nauka, M., 1985 | MR | Zbl

[18] Andreev A. V., Emelyanov V. I., Ilinskii Yu. A., UFN, 131:4 (1980), 653–694 | DOI | MR