Geodesic
Green's functions in the Dicke model. II. Superradiant state
Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 2, pp. 249-261 
N. N. Bogolyubov (Jr.); A. R. Kazaryan; A. M. Kurbatov; V. N. Neskoromnyi. Green's functions in the Dicke model. II. Superradiant state. Teoretičeskaâ i matematičeskaâ fizika, Tome 59 (1984) no. 2, pp. 249-261. http://geodesic.mathdoc.fr/item/TMF_1984_59_2_a8/
@article{TMF_1984_59_2_a8,
     author = {N. N. Bogolyubov (Jr.) and A. R. Kazaryan and A. M. Kurbatov and V. N. Neskoromnyi},
     title = {Green's functions in the {Dicke} model. {II.} {Superradiant} state},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {249--261},
     year = {1984},
     volume = {59},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1984_59_2_a8/}
}
TY  - JOUR
AU  - N. N. Bogolyubov (Jr.)
AU  - A. R. Kazaryan
AU  - A. M. Kurbatov
AU  - V. N. Neskoromnyi
TI  - Green's functions in the Dicke model. II. Superradiant state
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1984
SP  - 249
EP  - 261
VL  - 59
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1984_59_2_a8/
LA  - ru
ID  - TMF_1984_59_2_a8
ER  - 
%0 Journal Article
%A N. N. Bogolyubov (Jr.)
%A A. R. Kazaryan
%A A. M. Kurbatov
%A V. N. Neskoromnyi
%T Green's functions in the Dicke model. II. Superradiant state
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1984
%P 249-261
%V 59
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1984_59_2_a8/
%G ru
%F TMF_1984_59_2_a8

Voir la notice de l'article provenant de la source Math-Net.Ru

The approximate equation for the Green's function of a system of emitters interacting with a photon thermal bath is investigated. A condition under which superradiance occurs in the nonequilibrium case is derived. The influence of the initial conditions on the dynamics of the system is discussed. It is shown that the kinetic equation for the total spin of the system admits (under definite conditions) an exponentially relaxing solution, the equilibrium value being obtained in the limit $t\rightarrow\infty$.

[1] Dicke R. H., Phys. Rev., 93 (1954), 99–110 | DOI | Zbl

[2] Hepp K., Lieb E. H., Ann. of Phys., 76 (1973), 360 | DOI | MR

[3] Bogolyubov N. N. (ml.) i dr., Metod approksimiruyuschikh gamiltonianov v statisticheskoi fizike, Izd-vo BAN, Sofiya, 1981

[4] Zdanski A. K., Kurbatov A. M., Model Dikke, I, Preprint ITF-79–41R, ITF, Kiev, 1979

[5] Bogolubov N. N., Kinetic equations for the electron-phonon system, Communication E17–11822, JINR, Dubna, 1978

[6] Bogolyubov N. N. (ml.), TMF, 40:1 (1979), 77–94 | MR

[7] Bashkirov E. K., Bogolyubov N. N. (ml.), Shumovskii A. S., TMF, 56:3 (1983), 395–404

[8] Kazaryan A. R., DAN SSSR, 258 (1981), 336–340

[9] Bogolyubov N. N. (ml.) i dr., TMF, 54:1 (1983), 147–153 | MR

[10] Bogolyubov N. N., Tyablikov S. V., DAN SSSR, 126 (1959), 53–56 | Zbl

[11] Bogolyubov N. N. (ml.), Fam Le Kien, Shumovskii A. S., Trudy II Mezhdunarodnogo simpoziuma po izbrannym problemam statisticheskoi mekhaniki, Soobschenie OIYaI D17–81–758, OIYaI, Dubna, 1981, 9–18

[12] Balabanyan G. O., TMF, 54:1 (1983), 130–146 | MR

[13] Tyablikov S. V., Metody kvantovoi teorii magnetizma, Nauka, M., 1975 | MR

[14] Lanford O. E. III, Ruelle D., Commun. Math. Phys., 13 (1963), 194–215 | DOI | MR