A novel approach to entanglement dynamics of two two-level atoms interacting with dissipative cavities

In this paper, we first introduce a system consisting of two dissipative cavities in which there exists a two-level atom in each cavity. The correlation between these two separate cavities is governed via the field-field interaction term. To describe the dissipation in the cavities we use the approach of the Gardiner-Collett model. By applying two successive suitable canonical transformations, and with the help of the Fano's technique, we simplify the obtained Hamiltonian. After that, the exact analytical solution of the wave function of the considered system is obtained by using the Laplace transform technique. We investigate the dynamics of entanglement for both atom-field weak and strong couplings corresponding to the bad and good cavity limits showing that the field-field coupling constant and the detuning parameter have a significant influence on the entanglement between the two atoms. Finally, we investigate the non-classical properties of the cavity fields by evaluating sub-Poissonian statistics and two-mode squeezing criteria.