Gravitational Jaynes-Cummings model beyond the rotating wave approximation

In this paper, the quantum properties of a two-level atom and the cavity-field in the Jaynes-Cummings model with the gravity beyond the rotating wave approximation are investigated. For this purpose, by solving the Schrodinger equation in the interaction picture, the evolving state of the system is found by which the influence of the counter-rotating terms on the dynamical behaviour of atomic population inversion and the probability distribution of the cavity-field as quantum properties is explored. The results in the atom field system beyond the rotating wave approximation with the gravity show that the quantum properties are not completely suppressed under certain conditions.