Dynamical Properties of the Field In Generalized Photon-Added Pair Coherent State in the Jaynes-Cummings Model

This paper studies the time evolution of probabilities, second-order correlation functions, and entanglement via the interaction between the field which is a generalized photon-added pair coherent state (GPAPCS) with a two-level atom in the Jaynes-Cummings model. The dynamical behaviors of the field in the GPAPCS are found to be different compared to that of the field in the original pair coherent state. During the interaction with the atom, the dynamical properties of the entanglement in the GPAPCS are considered in detail by using the linear entropy criterion. The results show the important role of the simultaneous addition of photons to two modes of a pair coherent state in enhancing the non-classical as well as entanglement properties of the GPAPCS.