Quantum phase properties of two-mode Jaynes-Cummings model for Schr\"odinger-cat states: interference and entanglement

TL;DR

This paper explores the quantum phase characteristics of two-mode Schrödinger-cat states in the Jaynes-Cummings model, revealing relationships between phase distributions, revival-collapse phenomena, and the Wigner function's behavior.

Contribution

It introduces analysis of phase properties for two-mode Schrödinger-cat states within the Jaynes-Cummings model using the Pegg-Barnett formalism, highlighting new revival-collapse dynamics.

Findings

Phase distribution linked to revival-collapse phenomena

Long-time phase variances show revival-collapse behavior

Revival-collapse occurs at shorter interaction times than in single-mode models

Abstract

In this paper we investigate the quantum phase properties for the coherent superposition states (Schr\"odinger-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 there is 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.