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

2004/06/17 by Faisal A. A. El-Orany, M. H. Mahran, M. R. B. Wahiddin +3
Computer Science · Mathematics · Physics and Astronomy · #Coherent states #Computer science #Cumulative distribution function #Formalism (music) #Interference (communication) #Jaynes–Cummings model #Mathematics #Mode (computer interface) #Phase (matter) #Phase space #Physics #Probability density function #Q-function #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum optics #Single-mode optical fiber #Spectroscopy and Quantum Chemical Studies #Statistical physics #Superposition principle #Telecommunications #Wigner distribution function #quant-ph

paper · pdf · doi:10.1016/j.optcom.2004.06.011

published as Opt. Commun. 6 (2004) 169-184 · 23, 8 figures

openalex publication_date 2004/06/17 · arxiv created 2009/08/10 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 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.

Citations