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The model describing interaction between two-level atoms and a single modefield in an optical cavity enclosed by a medium with Kerr nonlinearity isconsidered in our paper. We study the model within the framework of theanalytical solution obtained by application of the quantum inverse method(QIM). The dynamic correlation functions are calculated and transition elementsof photons are represented in the determinant form. The obtained answers dependon the solutions of Bethe equations. We provide the numerical solutions ofthese equations for the different parameters of the model and study thebehaviour of certain dynamical correlation functions.

Dynamic correlation funtions of the generalized Tavis-Cummings model