Frontiers in Optics

Frequency shift in three-photon resonant four-wave mixing due atom-field interaction

Natalia R. de Melo, S. S. Vianna

Published Jan 1, 2017• 0 citations

Abstract

We investigate Frequency shift in three-photon resonant four-wave mixing in rubidium vapor. The results are consistent with theoretical model based on the semiclassical Maxwell-Bloch equations considering the generated radiation field self-consistently.

DOI: 10.1364/fio.2017.jtu3a.98

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Frontiers in Optics

Frequency shift in three-photon resonant four-wave mixing due atom-field interaction

Natalia R. de Melo, S. S. Vianna

Published Jan 1, 2017• 0 citations

Publisher

Abstract

DOI: 10.1364/fio.2017.jtu3a.98

Related papers

Frequency shift in three-photon resonant four-wave mixing by internal atom-field interaction

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We report on experimental results of four-wave mixing processes in rubidium vapor where coherence is induced on the three-photon resonant transition from $5s$ to $6p$ states via intermediate Rydberg levels. It is shown that the use of two beams in a noncollinear configuration, i.e., $\ensuremath{\theta}\ensuremath{\ne}0$, and high atomic density unveil new features. First, the $\ensuremath{\theta}=0$ (collinear configuration) odd-photon destructive interference between the incident and generated fields is strongly inhibited for $\ensuremath{\theta}\ensuremath{\ne}0$. Second, most importantly, the observed cooperative frequency shift of the three-photon transition is strongly enhanced for small, but nonzero, values of $\ensuremath{\theta}$ due to the factor ${(1\ensuremath{-}cos\ensuremath{\theta})}^{\ensuremath{-}1}$, which is not present if the generated radiation field is not considered self-consistently in the Maxwell-Bloch equations.We report on experimental results of four-wave mixing processes in rubidium vapor where coherence is induced on the three-photon resonant transition from $5s$ to $6p$ states via intermediate Rydberg levels. It is shown that the use of two beams in a noncollinear configuration, i.e., $\ensuremath{\theta}\ensuremath{\ne}0$, and high atomic density unveil new features. First, the $\ensuremath{\theta}=0$ (collinear configuration) odd-photon destructive interference between the incident and generated fields is strongly inhibited for $\ensuremath{\theta}\ensuremath{\ne}0$. Second, most importantly, the observed cooperative frequency shift of the three-photon transition is strongly enhanced for small, but nonzero, values of $\ensuremath{\theta}$ due to the factor ${(1\ensuremath{-}cos\ensuremath{\theta})}^{\ensuremath{-}1}$, which is not present if the generated radiation field is not considered self-consistently in the Maxwell-Bloch equations.

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We report on experimental results of four-wave mixing processes in rubidium vapor where coherence is induced on the three-photon resonant transition from

5s

6p

states via intermediate Rydberg levels. It is shown that the use of two beams in a noncollinear configuration, i.e., $\ensuremath{\theta}\ensuremath{\ne}0$, and high atomic density unveil new features. First, the $\ensuremath{\theta}=0$ (collinear configuration) odd-photon destructive interference between the incident and generated fields is strongly inhibited for $\ensuremath{\theta}\ensuremath{\ne}0$. Second, most importantly, the observed cooperative frequency shift of the three-photon transition is strongly enhanced for small, but nonzero, values of $\ensuremath{\theta}$ due to the factor ${(1\ensuremath{-}cos\ensuremath{\theta})}^{\ensuremath{-}1}$, which is not present if the generated radiation field is not considered self-consistently in the Maxwell-Bloch equations.

We investigate experimentally and theoretically nondegenerate four-wave mixing in rubidium vapor using a diamond configuration (

5{S}_{1/2}

5{P}_{1/2}

5{P}_{3/2}

, and

6{S}_{1/2}

levels). We model this process of three classical fields interacting with a four-level atomic system with the Schr\"odinger equation. The experimental results are in good agreement with theoretical predictions for the generated light as a function of detuning.