Information dynamics for a non-degenerate two-photon JC model in phase damping cavity

In this article, we investigate the evolution of the quantum Fisher information and its flow based on quantum state estimation in the framework of the interaction between a two-level atom and two-mode squeezed field in a phase damped cavity. The analytical solution for this system when the atom is initially prepared in a superposition state and the field in a two-mode squeezed coherent state is obtained. The entanglement or nonlocal correlation between a two-level atom with two-mode squeezed field is quantified by the field and atomic tangle respectively. The total tangle is used as a quantifier of the entanglement between the system (atom-field) and environment. The effect of the phase damping parameter of the quantum Fisher flow and atom-field entanglement will be examined during the time evolution. Finally, we explore the relation between quantum Fisher information its flow and entanglement.