Calculation of the maximal Lyapunov coefficient for the coherent dynamics of three-level atoms in an ideal cavity

Sergey N. Agapov; Alexander V. Gorokhov

doi:10.1117/12.2229838

21 April 2016 Calculation of the maximal Lyapunov coefficient for the coherent dynamics of three-level atoms in an ideal cavity

Sergey N. Agapov, Alexander V. Gorokhov

Author Affiliations +

Proceedings Volume 9917, Saratov Fall Meeting 2015: Third International Symposium on Optics and Biophotonics and Seventh Finnish-Russian Photonics and Laser Symposium (PALS); 99173B (2016) https://doi.org/10.1117/12.2229838
Event: Saratov Fall Meeting 2015, 2015, Saratov, Russian Federation

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.

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Sergey N. Agapov and Alexander V. Gorokhov "Calculation of the maximal Lyapunov coefficient for the coherent dynamics of three-level atoms in an ideal cavity", 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); https://doi.org/10.1117/12.2229838

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