Geodesic
Nonequilibrium statistical operator method in the theory of a single-mode laser based on two-level atoms
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 102-117 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The methods of nonequilibrium statistical thermodynamics are used to study the simplest model of a laser – a single-mode laser based on two-level atoms. Zubarev's nonequilibrium statistical operator is used to obtain expressions for the constants cff the coupling of the radiation field and the atoms to their thermal reservoirs in terms of the time corretaCion functions. A quantum hierarchy of equations of the BBGKY type is constructed and solved in the stationary case by separating the irreducible correlation parts of the reduced density matrices. The resulting solution when the number of thermal photons is $n_0=0$ is almost identical with the analogous solution of Weidlich, Risken, and Haken. The solution is investigated in the complete range of variation of the pumping parameter and the generation parameter. The result is compared with the theory of Scully and Lamb and the papers of other authors. 
@article{TMF_1978_37_1_a9,
     author = {L. A. Pokrovskii},
     title = {Nonequilibrium statistical operator method in the theory of a~single-mode laser based on two-level atoms},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {102--117},
     year = {1978},
     volume = {37},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a9/}
}
TY  - JOUR
AU  - L. A. Pokrovskii
TI  - Nonequilibrium statistical operator method in the theory of a single-mode laser based on two-level atoms
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 102
EP  - 117
VL  - 37
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a9/
LA  - ru
ID  - TMF_1978_37_1_a9
ER  - 
%0 Journal Article
%A L. A. Pokrovskii
%T Nonequilibrium statistical operator method in the theory of a single-mode laser based on two-level atoms
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 102-117
%V 37
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a9/
%G ru
%F TMF_1978_37_1_a9
L. A. Pokrovskii. Nonequilibrium statistical operator method in the theory of a single-mode laser based on two-level atoms. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 102-117. http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a9/

[1] V. M. Fain, Ya. I. Khanin, Kvantovaya radiofizika, Sov. radio, M., 1965

[2] S. G. Zeiger, Yu. L. Klimontovich, P. S. Landa, E. G. Lariontsev, E. E. Fradkin, Volnovye i fluktuatsionnye protsessy v lazerakh, «Nauka», 1974

[3] W. E. Lamb, Phys. Rev., 134 (1964), A1429 ; В. Е. Ламб, Квантовая оптика и квантовая радиофизика, Сб., «Мир», 1966 | DOI

[4] M. Scully, W. E. Lamb, Phys. Rev., 159 (1967), 208 ; Ф. Арекки, М. Скалли, Г. Хакен, В. Вайдлих, Квантовые флуктуации излучения лазера, «Мир», 1974 | DOI

[5] H. Haken, Handbuch der Physik, Springer, Berlin, 1970

[6] W. Weidlich, H. Risken, H. Haken, Z. Phys., 201 (1967), 396 ; Ф. Арекки, М. Скалли, Г. Хакен, В. Вайдлих, Квантовые флуктуации излучения лазера, «Мир», 1974 | DOI

[7] A. P. Kazantsev, G. I. Surdutovich, ZhETF, 56 (1969), 2001

[8] F. Casagrande, L. A. Lugiato, Phys. Rev., 14 (1976), 778 | DOI

[9] R. Glauber, Kvantovaya optika i kvantovaya radiofizika, Sb., «Mir», 1966

[10] Dzh. Klauder, E. Sudarshan, Osnovy kvantovoi optiki, «Mir», 1970 | Zbl

[11] M. Leks, Fluktuatsii i kogerentnye yavleniya, «Mir», 1974

[12] D. N. Zubarev, Neravnovesnaya statisticheskaya termodinamika, «Nauka», 1971

[13] L. A. Pokrovskii, DAN SSSR, 183 (1968), 806

[14] K. Valyasek, A. L. Kuzemskii, TMF, 4 (1970), 267

[15] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, 1946 ; Избранные труды в трех томах, т. II, «Наукова думка», Киев, 1970 | MR | MR

[16] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, Fizmatgiz, 1963