Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical Review A

Phase, coherence properties, and the numerical analysis of the field in the nonresonant Jaynes-Cummings model

Fan An-fu, Wang Zhi-wei

Published Feb 1, 1994• 16 citations
Publisher

Abstract

In this paper we investigate the phase and coherence properties of the field in the nonresonant Jaynes-Cummings model. We find the phase distribution to be split into four separate asymmetrically peaked functions. We also find, in the large-detuning limit, that the coherence properties of an originally coherent field occur periodically. We conclude that the phase formalism of Pegg and Barnett [Europhys. Lett. 6, 483 (1988)] and the coherence theory of Glauber [Phys. Rev. 130, 2529 (1963)] are complementary.

DOI
10.1103/physreva.49.1509

Related papers

Phase dynamics of coherent light in theM-photon Jaynes-Cummings model

Haoyan Meng, C. L. Chai, Z. M. Zhang

We have studied the phase properties of coherent light in the M-photon Jaynes-Cummings model using the Hermitian phase operator of Pegg and Barnett [Europhys. Lett. 6, 483 (1988)] and have found the collapse and revival phenomenon about the long-time behavior of the phase variance of the field. Also, we have given a reasonable interpretation of the phenomenon.

Physical Review A•Feb 1, 1992•19 citations

Dynamical Properties of the Field Phase in the Jaynes-Cummings Model

Ho Trung Dung, R. Tanaś, A.S. Shumovsky

Phase properties of a coherent field interacting with a two-level atom in an ideal cavity are studied using the new hermitian phase formalism of Pegg and Barnett. It is shown in particular that phase properties of the field reflect the collapse and revival phenomena. The effects of finite detuning and atomic coherences are treated. The results for the variance of the phase cosine are obtained and compared with those based on earlier approaches.

Journal of Modern Optics•Oct 1, 1991•15 citations

Phase properties of the field in the Jaynes-Cummings model with an additional Kerr medium

Mao-Fa Fang

The phase properties of the field in the Jaynes-Cummings model with an additional Kerr medium are discussed from the point of view of the new phase formalism of Pegg and Barnett. The phase probability distribution, the expectation values and the fluctuations of the Hermitian phase operator and the phase fluctuations are obtained. The effect of nonlinearity interaction of Kerr medium on the phase properties are analysed in comparison with the standard Jaynes-Cummings.

Acta Optica Sinica•Jan 1, 1993•0 citations

Characteristic oscillations of phase properties for pair coherent states in the two-mode Jaynes-Cummings-model dynamics

Shih-Chuan Gou

The phase properties of pair coherent states in the two-mode Jaynes-Cummings model are investigated based on the Pegg-Barnett phase formalism. The general expressions of the properties for the phase-sum operator of the two correlated fields are presented, in which the Stark shifts are considered. Analytic results are given in the strong-field approximations. It is found that the phase properties such as the variance of the phase-sum operator and the variances of the cosine and the sine of the phase-sum operator exhibit characteristic periodic oscillations in which the period is determined solely by the Stark shifts.

Physical Review A•Oct 1, 1993•24 citations

Phase Properties of Multiphoton Jaynes-Cummings Model

A.M. Abdel-Hafez, A.‐S. F. Obada, A. H. Essawy

The multiphoton Jaynes-Cummings model is analyzed for phase properties of a coherent field state. The phase variances tend to the values for a field with a randomly distributed phase of one-photon Jaynes-Cummings model and the off-resonant two-photon Jaynes-Cummings model. Revival of oscillations in the far off-resonant two-photon Jaynes-Cummings model occur much later. On the other hand, the variance of the on-resonant two-photon Jaynes-Cummings model variances oscillate periodically.

Annales de Physique•Jan 1, 1995•6 citations

Quantum phase and dynamical properties of light in the Jaynes-Cummings model via phase coupling

Fan An-fu

It is pointed out here that quantum phase properties, as well as dynamical properties, of light exhibit a sensitivity to the relative phase between the atomic dipole and light when the atom is prepared in a coherent superposition of its states in the two-level Jaynes-Cummings model interacting with a coherent state of light. The existence of the coherent-trapping of light is demonstrated by looking not only at the variance of the light phase about the coherent state value, and the number-phase uncertainty relation, but also at the factorization of the electric-field operator, and the photon-number distribution. We find also the factorization expression of the compound state of the atom-field system. We show once more that the phase properties of light based on the phase operator formalism of Pegg-Barnett and the coherence properties of light based on the coherence theory of Glauber are complementary in description of the optical quantum coherence.

Acta Physica Sinica (Overseas Edition)•Oct 1, 1996•0 citations
In this paper we investigate the phase and coherence properties of the field in the nonresonant Jaynes-Cummings model. We find the phase distribution to be split into four separate asymmetrically peaked functions. We also find, in the large-detuning limit, that the coherence properties of an originally coherent field occur periodically. We conclude that the phase formalism of Pegg and Barnett [Europhys. Lett. 6, 483 (1988)] and the coherence theory of Glauber [Phys. Rev. 130, 2529 (1963)] are complementary.
The phase properties of pair coherent states in the two-mode Jaynes-Cummings model are investigated based on the Pegg-Barnett phase formalism. The general expressions of the properties for the phase-sum operator of the two correlated fields are presented, in which the Stark shifts are considered. Analytic results are given in the strong-field approximations. It is found that the phase properties such as the variance of the phase-sum operator and the variances of the cosine and the sine of the phase-sum operator exhibit characteristic periodic oscillations in which the period is determined solely by the Stark shifts.
It is pointed out here that quantum phase properties, as well as dynamical properties, of light exhibit a sensitivity to the relative phase between the atomic dipole and light when the atom is prepared in a coherent superposition of its states in the two-level Jaynes-Cummings model interacting with a coherent state of light. The existence of the coherent-trapping of light is demonstrated by looking not only at the variance of the light phase about the coherent state value, and the number-phase uncertainty relation, but also at the factorization of the electric-field operator, and the photon-number distribution. We find also the factorization expression of the compound state of the atom-field system. We show once more that the phase properties of light based on the phase operator formalism of Pegg-Barnett and the coherence properties of light based on the coherence theory of Glauber are complementary in description of the optical quantum coherence.