Classical and quantum correlations in a system of two atoms interacting with the Schrödinger cat state field

In this study, we investigate the correlations between the atoms in a system of two atoms interacting with the Schrödinger cat state field. We examine the impact of various parameters, such as atomic and field factors, on the evolution of both classical and quantum correlations between the atoms, which are initially in six different states. The results indicate that there may be sudden changes in both quantum and classical correlations under certain conditions, and the quantum correlation measured by quantum discord (QD) and geometrical quantum discord (GQD) and the classical correlation (CC) exist within certain domains of scale time without entanglement (by concurrence C), and also, the phenomena of the collapse and revival can be observed for the above four quantities. Compared the evolution behavior of quantum correlation (C, QD, GQD) with that of classical correlation (CC), it will be seen that the time evolution curves of C, QD and GQD are obviously different from that of CC in the mentioned cases