Quantum phase properties of two-mode Jaynes–Cummings model for Schrödinger-cat states: interference and entanglement

Abstract In this paper, we investigate the quantum phase properties for the coherent superposition states (Schrodinger-cat states) for two-mode multiphoton Jaynes–Cummings model in the framework of the Pegg–Barnett formalism. We also demonstrate the behavior of the Wigner ( W ) function at the phase space origin. We obtain many interesting results such as the existence of a clear relationship between the revival-collapse phenomenon occurring in the atomic inversion (as well as in the evolution of the W function) and the behavior of the phase distribution of both the single-mode and two-mode cases. Furthermore, we find that the phase variances of the single-mode case can exhibit revival-collapse phenomenon about the long-time behavior. We show that such behavior occurs for interaction time several times smaller than that of the single-mode Jaynes–Cummings model.