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Physical Review A

Influence of nonlinearity in one-photon processes on the relationship between field and dipole squeezing in the two-level thermal Jaynes-Cummings model

Aranya B. Bhattacherjee

Published Jul 1, 1997• 15 citations
Publisher

Abstract

This paper describes the influence of nonlinear interaction of a two-level atom with a single-mode field via one-photon interaction on the squeezing properties of the radiation and the fluctuations of the atomic dipole variables. The thermal Jaynes-Cummings model nonlinear in occupation number is used.
DOI
10.1103/physreva.56.796

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Recently, in a very interesting article [Phys. Rev. A 56, 796 (1997)], Bhattacherjee has discussed the influence of nonlinearity in one-photon processes on the relationship between field and dipole squeezing in the two-level thermal Jaynes-Cummings model. Here we correct Eqs. (14)--(17) of that paper and exactly show that the squeeze period and duration in the case of $\mathrm{n\ifmmode \bar{}\else \={}\fi{}}=0$ and $\ensuremath{\lambda}\ensuremath{\ne}0$ are inversely proportional to the nonlinear parameter $\ensuremath{\lambda}.$

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Recently, in a very interesting article [Phys. Rev. A 56, 796 (1997)], Bhattacherjee has discussed the influence of nonlinearity in one-photon processes on the relationship between field and dipole squeezing in the two-level thermal Jaynes-Cummings model. Here we correct Eqs. (14)--(17) of that paper and exactly show that the squeeze period and duration in the case of $\mathrm{n\ifmmode \bar{}\else \={}\fi{}}=0$ and $\ensuremath{\lambda}\ensuremath{\ne}0$ are inversely proportional to the nonlinear parameter $\ensuremath{\lambda}.$
By means or investigating the time evolution of the atomic dipole squeezing and the field squeezing in the one-photon Jaynes-Cummings model and the nondege-nerate two-photon Jaynes-Cummings model, the relations between atomic dipole squeezing and squeezing in the radiating field are examined. The conditions under which the atom in atomic dipole squeezed state can radiate squeezed light are presented. The properties of the squeezing transformation between atomic dipole quadrature components and field quadrature components are also discussed. And in the atom-field coupling system, the two-photon transtion processes in producing squeezed light are superior to the one-photon transition processes.
Multiphoton interaction of single-mode squeezed-state light and a two-level atom is considered based on the K-photon Jaynes–Cummings model. Time evolution of quantum fluctuation and photon statistical properties of the initial squeezing light are discussed. It is found that through interaction with a two-level atom, larger squeezing levels cannot be achieved in one-photon or multiphoton processes. For photon antibunching behavior of the light field, it is shown that a smaller initial squeezing level and an appropriately larger coherent part of the initial average photon number of the radiation field favor the generation of this nonclassical behavior, especially in the lower-order interaction processes.