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QUANTUM DYNAMICS OF TWO-LEVEL ATOMS INTERACTING WITH AN ELECTROMAGNETIC FIELD

N. N. BogolubovV. A. Steklov Institute of Mathematics of the Russian Academy of Sciences Moscow 119991, RussiaM. Yu. RasulovaInstitute of Nuclear Physics Academy of Sciences Republic of Uzbekistan, Ulughbek, Tashkent 100214, UzbekistanI. A. TISHABOEVInstitute of Nuclear Physics Academy of Sciences Republic of Uzbekistan Ulughbek, Tashkent 100214, Uzbekistan
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We consider the dynamics of a system consisting of N two-level atoms interacting with a multi-mode cavity field. For the given system, the generalized kinetic equation (GKE) is obtained and conditions are given under which its solution is reduced to solution of a linear equation, and of the one-dimensional nonlinear Schrödinger equation, respectively.

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