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Physical Review A

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

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

Published Feb 1, 1992• 19 citations
Publisher

Abstract

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.

DOI
10.1103/physreva.45.2131

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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.
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.
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.