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Proceedings Paper

Calculation of the maximal Lyapunov coefficient for the coherent dynamics of three-level atoms in an ideal cavity
Author(s): Sergey N. Agapov; Alexander V. Gorokhov
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Paper Abstract

A coherent dynamics of a three-level atoms in the ideal cavity were investigated. This model evidently generalizes the well-known Tavis-Cummings model of two-level atoms. We have derived a system of equations for the parameters of coherent states associated with the group G = W2˄SU(3). It is shown that this model gives a nontrivial example of the chaotic behavior of the parameters of coherent states, taking into account non-resonant terms in the Hamiltonian. Time dependencies of mean number of the cavity photons and level populations of atoms are computed and maximal Lyapunov coefficient is calculated.

Paper Details

Date Published: 21 April 2016
PDF: 9 pages
Proc. SPIE 9917, Saratov Fall Meeting 2015: Third International Symposium on Optics and Biophotonics and Seventh Finnish-Russian Photonics and Laser Symposium (PALS), 99173B (21 April 2016); doi: 10.1117/12.2229838
Show Author Affiliations
Sergey N. Agapov, Samara State Univ. (Russian Federation)
Alexander V. Gorokhov, Samara State Univ. (Russian Federation)


Published in SPIE Proceedings Vol. 9917:
Saratov Fall Meeting 2015: Third International Symposium on Optics and Biophotonics and Seventh Finnish-Russian Photonics and Laser Symposium (PALS)
Elina A. Genina; Valery V. Tuchin; Vladimir L. Derbov; Dmitry E. Postnov; Igor V. Meglinski; Kirill V. Larin; Alexander Borisovich Pravdin, Editor(s)

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