Exact solution of the Jaynes–Cummings model for atom moving through the non-ideal cavity
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 1, pp. 116-123 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Exact solution for generalized Jaynes–Cummings model including $r$-quant transitions, non-ideal cavity and moving of the atom for arbitrary initial state of the system is obtained. Dependents from time for some observable using expression for density matrix are calculated.
@article{UZKU_2006_148_1_a13,
     author = {A. V. Gorokhov and I. E. Sinaiskii},
     title = {Exact solution of the {Jaynes{\textendash}Cummings} model for atom moving through the non-ideal cavity},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {116--123},
     year = {2006},
     volume = {148},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2006_148_1_a13/}
}
TY  - JOUR
AU  - A. V. Gorokhov
AU  - I. E. Sinaiskii
TI  - Exact solution of the Jaynes–Cummings model for atom moving through the non-ideal cavity
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2006
SP  - 116
EP  - 123
VL  - 148
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/UZKU_2006_148_1_a13/
LA  - ru
ID  - UZKU_2006_148_1_a13
ER  - 
%0 Journal Article
%A A. V. Gorokhov
%A I. E. Sinaiskii
%T Exact solution of the Jaynes–Cummings model for atom moving through the non-ideal cavity
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2006
%P 116-123
%V 148
%N 1
%U http://geodesic.mathdoc.fr/item/UZKU_2006_148_1_a13/
%G ru
%F UZKU_2006_148_1_a13
A. V. Gorokhov; I. E. Sinaiskii. Exact solution of the Jaynes–Cummings model for atom moving through the non-ideal cavity. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 1, pp. 116-123. http://geodesic.mathdoc.fr/item/UZKU_2006_148_1_a13/

[1] Jaynes E. T., Cummings F. W., “Comparison of quantum and semiclassical radiation theories with application to the Beam Maser”, Proc. IEEE, 51:1 (1963), 89–109 | DOI

[2] Tavis M., Cummings F. W., “Exact solution for an N-molecule-radiaton-field hamiltonian”, Phys. Rev., 170 (1968), 379–384 | DOI

[3] Yoo H. Y., Eberly J. H., “Dynamical theory of an atom with two and three levels interacting with quantized cavity fields”, Physics Reports, 118 (1985), 239–337 | DOI

[4] Singh S., “Field statistics in some generalized Jaynes – Cummings models”, Phys. Rev. A, 25 (1982), 3206–3216 | DOI | MR

[5] Eberly J. H., Narozhny N. B., Sanches-Mondragon J. J., “Periodic spontaneous collapse and revival in a simple quantum model”, Phys. Rev. Lett., 44 (1980), 1323–1326 | DOI | MR

[6] Scully M. O., Zubairy M. S., Quantum Optics, Cambridge University Press, Cambridge, 1997, 630 pp.

[7] Raithel G., Wagner C., Walther H., Narducci L. M., Scully M. O., “The micromaser: a providing ground for quantum physics, in Advances in atomic, molecular and optical physics”, ed. P. Berman, Academic, N. Y., 1994, 57–121

[8] Walther H., “Single atom experiments in cavities and traps”, Proc. R. Soc. A, 454 (1998), 431–445 | DOI | MR | Zbl

[9] Shore B. W., Knight P. L., “Topical review. The Jaynes – Cummings model”, J. Mod. Opt., 40 (1993), 1195–1238 | DOI | MR | Zbl

[10] Gorokhov A. V., Sinaiski I. E., “Exact solution of the Jaynes – Cummings model with relaxation”, Proc. SPIE, 5476, 2003, 91–98

[11] Gorokhov A. V., Sinaiskii I. E., “Metod uravneniya Fokkera – Planka i statistika fotonov v teorii odnoatomnogo mazera”, Izv. RAN. Ser. Fizicheskaya, 68:9 (2004), 1288–1291

[12] Joshi A., Lawande S. V., “Effect of atom motion on Rydberg atoms undergoing the two-photon transitions in a lossless cavity”, Phys. Rev. A, 42 (1990), 1752–1756 | DOI

[13] Gorokhov A. V., Metody teorii grupp v zadachakh kvantovoi fiziki, Kuibyshevsk. gos. un-t, Kuibyshev, 1979, 96 pp.