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Chinese Physics B

Dynamic and inner-dressing control of four-wave mixing in periodically-driven atomic system*

Yuanyuan Li, Li Li, Yun-Zhe Zhang, Lei Zhang

Published Aug 15, 2019• 3 citations
Publisher

Abstract

Four-wave-mixing (FWM) process is examined by using density matrix formalism in a periodically-driven atomic medium. Numerical result shows that FWM signals can be controlled by selecting different dynamic parameters of the probe field and strengths of the inner-dressing fields. It is also shown that the controllable FWM process is dominantly influenced by the evolution of atomic population difference and two-photon coherence. This dynamic and inner-dressing control of FWM is probably used for optimizing the optical nonlinear process and information processing.

DOI
10.1088/1674-1056/ab3b52

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Four-wave-mixing (FWM) process is examined by using density matrix formalism in a periodically-driven atomic medium. Numerical result shows that FWM signals can be controlled by selecting different dynamic parameters of the probe field and strengths of the inner-dressing fields. It is also shown that the controllable FWM process is dominantly influenced by the evolution of atomic population difference and two-photon coherence. This dynamic and inner-dressing control of FWM is probably used for optimizing the optical nonlinear process and information processing.
Abstract We investigate the coherent control of dressing interaction in four-wave mixing (FWM) in a Y-type four-level atomic system based on the dressed states theory. We study the density matrix equation acted by two dressing fields simultaneously governing FWM signal intensity and the eigenvalues under the dressed state formalism. It is shown that the peak position and intensity of Autler–Townes splitting both originate from the dressing interaction as the detuning of the probe field is scanned. Moreover, it is observed that the interaction could be controlled by the dressing fields. Such flexibly controlled nonlinear signal has potential applications in optical communication and quantum information processing.
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In two-level as well as V-type three-level atomic systems, we study probe transmission, four-wave mixing (FWM) and fluorescence signals with dressing effect experimentally and theoretically. We find both the hyperfine structure (at the same energy level) and the transition dipole moment (at different energy levels) can affect the dressing effect. We also experimentally investigate that angle-control dynamics in the nonlinear propagation of the images of the probe and generated FWM in two-level atomic systems, and find that the focusing and defocusing of probe beam and FWM signals can be greatly affected by the angles between dressing fields.
We demonstrate different dressed processes of four-wave mixing (FWM), as changing the powers of the probe, pump, and dressing fields, respectively, in ladder-type three-level system. It is demonstrated that scanning detuning of the dressing field can lead to the direct detection of the dressing effects and the interaction between the dressing fields, compared with scanning that of the probe field. Moreover, by respectively controlling the powers of the dressing, pump, and probe fields, the enhancement and suppression of FWM signals can be switched sensitively. Meanwhile, the spatial splitting in y direction of FWM signal due to the cross-phase modulation and electromagnetically induced gratings is observed, respectively. Such nonlinear signal with switchable enhancement has potential applications in optical switching, optical communication, and quantum information processing.
We investigate the interplay between six-wave mixing (SWM) and four-wave mixing (FWM) resulting from atomic coherence and polarization beat in a four-level atomic system. The dressed FWM evolution and competition pathways can be controlled by the coupling field to exhibit two FWM and SWM turning points, FWM+SWM, and FWM+FWM interference regions. Quantum interference between two FWM or one FWM and one SWM channels leads to nonlinear signal enhancement and suppression under different conditions. The fifth-order nonlinear response can be obtained by the phase control of the polarization beat between the FWM and SWM signals.
We theoretically investigate a N-type 87Rb atomic system for efficient generation and control of a non-degenerate Four wave mixing (FWM) signal in pulsed regime. The susceptibility of the atomic medium is customized as a gain profile by a weak probe field and two strong control fields which allow us to generate the pulsed FWM signal. We study the propagation dynamics of the generated FWM signal inside the nonlinear medium. The FWM signal obtains the exact shape of probe pulse and travels without changing the shape whereas the probe pulse is absorbed inside the nonlinear medium. The conversion efficiency of this scheme without a MW field is 5.8% which can be enhanced further by changing the control field intensity and optical depth. However, a MW field that couples two metastable ground states enhances the conversion efficiency three times (15.55%). The generation and control of such FWM signal in pulsed regime has important applications in signal processing, optical communication and quantum information science.