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 (Schrödinger-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.