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Journal of the Optical Society of America B

Coexisting polarized four-wave mixing processes in a two-level atomic system

Ruimin Wang, Zhenkun Wu, Suling Sang, Jianping Song, Huaibin Zheng, Zhiguo Wang, Changbiao Li, Yanpeng Zhang

Published Nov 18, 2011• 5 citations
Publisher

Abstract

We investigate the polarization dependence of eight coexisting four-wave mixing (FWM) signals in a two-level atomic system. The intensities and polarization states of coexisting FWM signals are modulated by the polarization configurations and frequency detunings of the incident fields. The suppression and enhancement due to the dressing effects present different polarization dependences. Both the mutual-dressing effect and the self-dressing effect are considered to explain the observed phenomena.

DOI
10.1364/josab.28.002940

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We investigate the polarization dependence of eight coexisting four-wave mixing (FWM) signals in a two-level atomic system. The intensities and polarization states of coexisting FWM signals are modulated by the polarization configurations and frequency detunings of the incident fields. The suppression and enhancement due to the dressing effects present different polarization dependences. Both the mutual-dressing effect and the self-dressing effect are considered to explain the observed phenomena.
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We illustrate our experimental observation of the periodic changes of spatial splitting of the generated four-wave mixing (FWM) signal induced by different polarization states of one of the dressing beams. It is pointed out that the changes of intensity of the dressing beam and the FWM signal have influences on the spatial splitting and their influences compete with each other. The differences between p- and s-polarized FWM beams are demonstrated. The influences of the dressing beams, which lead to the larger spatial splitting with different polarization states or frequency detuning, are observed as well.
We report observations of the enhancement and suppression of four-wave mixing (FWM) in an electromagnetically induced transparency window in a Y-type 85 Rb atomic system. The results show the evolution of the dressed effects (from pure enhancement to partial enhancement/suppression, and finally into pure suppression) in the degenerate-FWM processes. Moreover, we use the perturbation chain method to describe the FWM process. Finally, we observe the polarization dependence of the enhancement and suppression of the FWM signal.
Two doubly dressing (parallel and nested processes) schemes are considered which generate co-existing four-wave mixing (FWM), six-wave mixing (SWM) and eight-wave mixing (EWM) processes in an open five-level atomic system. The coherent interaction between two dressing processes in nested type is much stronger than that in parallel type. The singly enhanced SWM and dually enhanced FWM channels can be opened at the same time. Such dramatic enhancements in high-order nonlinear optical processes result from the constructive interactions of double dark resonances. The giant third-, fifth- and seventh-order nonlinear responses with different signs can be obtained by using the coherent phase controls of the polarization beats between the FWM, SWM and EWM signals.
We show that polarization properties of the suppression and enhancement as well as the Autler-Townes (AT) splitting of two coexisting six-wave mixing (SWM) processes in multi-Zeeman levels atomic system. By scanning the frequency detuning of the dressing field, we observe the suppression and enhancement as well as the AT splitting of the two coexisting SWM processes with the different polarized probe beams. Different polarization states of the probe beam can select different transitions among multi-Zeeman levels and different dressing strengths. The AT splitting separations get slightly large as the probe beam changes from the linearly polarized state to the circularly polarized one. Under the conditions of different dressing fields, the polarization dependence of the SWM enhancement and suppression shows the inverse variation. Theoretical calculations are carried out, which are in good agreement with the experimental results.
We experimentally report on the evolution from singly-dressed to doubly-dressed four-wave mixing (FWM) process by controlling the powers of the probe, the pump and the dressing fields respectively. The differences in the enhancement and the suppression of FWM signal between the two-level and cascade three-level atomic systems are observed and explained by the multi-dressed effect theoretically. Both the x direction and the y direction spatial splittings of the degenerate-FWM (DWFM) beams are obtained. We also investigate the switch between the enhancement and the suppression of the DWFM signals and between its spatial splittings in x direction and y direction. The spatial splittings in x direction and y direction can be controlled by the relative position and the intensity of the involved laser beams. Such a study can be useful for optimizing the efficiency of the FWM process and providing potential applications in spatial signal processing.