21 April 2016 Calculation of the maximal Lyapunov coefficient for the coherent dynamics of three-level atoms in an ideal cavity
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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, 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); doi: 10.1117/12.2229838; https://doi.org/10.1117/12.2229838
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