Geodesic
The Lindblad Equation within the Framework of Polynomial Algebra for Radiation Description from Atom-Photon Cluster
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 1, pp. 33-42
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

Kinetic equation was obtained for description of radiation from atom-photon cluster localized in a single mode cavity.
Keywords: single mode cavity, Raman resonance, broadband radiation, effective Hamiltonian, representation pf polynomial algebra, quantum stochastic differential equation, atom-photon emitter. 
@article{UZKU_2009_151_1_a4,
     author = {A. M. Basharov},
     title = {The {Lindblad} {Equation} within the {Framework} of {Polynomial} {Algebra} for {Radiation} {Description} from {Atom-Photon} {Cluster}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {33--42},
     year = {2009},
     volume = {151},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_1_a4/}
}
TY  - JOUR
AU  - A. M. Basharov
TI  - The Lindblad Equation within the Framework of Polynomial Algebra for Radiation Description from Atom-Photon Cluster
JO  - Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
PY  - 2009
SP  - 33
EP  - 42
VL  - 151
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/UZKU_2009_151_1_a4/
LA  - ru
ID  - UZKU_2009_151_1_a4
ER  - 
%0 Journal Article
%A A. M. Basharov
%T The Lindblad Equation within the Framework of Polynomial Algebra for Radiation Description from Atom-Photon Cluster
%J Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki
%D 2009
%P 33-42
%V 151
%N 1
%U http://geodesic.mathdoc.fr/item/UZKU_2009_151_1_a4/
%G ru
%F UZKU_2009_151_1_a4
A. M. Basharov. The Lindblad Equation within the Framework of Polynomial Algebra for Radiation Description from Atom-Photon Cluster. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 1, pp. 33-42. http://geodesic.mathdoc.fr/item/UZKU_2009_151_1_a4/

[1] Dicke R. H., “Coherence in spontaneous radiation processes”, Phys. Rev., 93 (1954), 99–111 | DOI

[2] Maimistov A. I., Basharov A. M., Nonlinear optical waves, Kluwer Academic, Dordrecht, 1999, 650 pp. | MR | Zbl

[3] Karasev V. P., “Polinomialnye deformatsii algebry Li $sl(2)$ v zadachakh kvantovoi optiki”, Teor. i mat. fizika, 95:1 (1993), 3–19 | MR | Zbl

[4] Vadeiko I. P., Miroshnichenko G. P., Rybin A. V., Timonen J., “Polinomial algebra of excitations in quantum optics”, Phys. Rev. A, 67 (2003), 053808 | DOI

[5] Basharov A. M., “Teoriya sverkhizlucheniya v rezonatore kak primer primeneniya polinomialnykh algebr”, XII Mezhdunar. molod. nauch. shk. “Kogerentnaya optika i opticheskaya spektroskopiya”, Sb. st., Vyp. 12, Kazan. gos. un-t, Kazan, 2008, 34–42

[6] Lindblad G., “On the generators of quantum dynamical semigroups”, Comm. Math. Phys., 48 (1976), 119–130 | DOI | MR | Zbl

[7] Gardiner C. W., Quantum Noise, Springer, Berlin, 1991, XIX+365 pp. | MR | Zbl

[8] Gardiner C. W., Zoller P., Quantum noise, Springer, Berlin, 2004, XXII+440 pp. | MR