Time evolution of the atomic inversion for the generalized Tavis–Cummings model—QIM approach
N. M. Bogoliubov, Igor V. Ermakov, Andrei V. Rybin · Journal of Physics A Mathematical and Theoretical · 2017
Abstract A model describing the interaction between two-level atoms and a single mode field in an optical cavity enclosed by a medium with Kerr nonlinearity is considered in our paper. We study the model within the framework of the analytical solution obtained by application of the quantum inverse method (QIM). Time evolution of the atomic inversion is calculated and transition elements of photons are represented in the determinant form. The obtained answers depend on the solutions of the Bethe equations. We provide the numerical solutions of these equations for the different parameters of the model and study the behaviour of certain dynamical correlation functions.