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Applied Optics

Dynamically tunable vortex four-wave mixing in a six-level system

Nuo Ba, Di Zhang, Jin-You Fei, Dongfei Li, Xin Zhong, Dan Wang, Lei Wang, Hai-Hua Wang

Published Jan 26, 2022• 1 citation
Publisher

Abstract

We investigate the orbital angular momentum of vortex light in a six-level atomic system with a closed loop. We find that a vortex light field via four-wave mixing (FWM) is sensitive to the relative phase of the driving fields due to forming a closed loop configuration. Thus, it could periodically tune the phase and intensity of the vortex FWM field by adjusting the relative phase of the driving fields. Moreover, the spatial modulation of the vortex FWM phase and intensity also can be achieved by tuning the intensity of the microwave field and detuning of the driving fields.

DOI
10.1364/ao.447779

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Vortex light, a unique optical field that carries orbital angular momentum (OAM), has attracted considerable attention in recent years. In this paper, we present a detailed theoretical analysis of OAM transfer from the input field to the generated signal field in a four-level double-Lambda system via the four-wave mixing (FWM) process, showing that their OAMs follow a specific algebraic relationship. We identify the optimal conditions for efficient vortex light transmission, analyze the influence of detuning on transmission efficiency and phase distortion, and specifically examine the scenario where the control field carries OAM the latter being essential for a complete characterization of OAM conservation in the FWM process, while all three aspects have been largely overlooked in the existing literature. Furthermore, we investigated the tunability of the group velocity between the probe and signal fields by modulating the Rabi frequencies of the two control fields and the relative phase between the probe and signal fields during the FWM process. We demonstrate that the conversion between matched vortex slow and fast light can be realized an effect that has not been widely explored in dual-Lambda-type systems. These results may hold promise for applications in quantum information storage and processing, quantum computing, and ultrasensitive detection.
We present a scheme to demonstrate the manipulation of spatially dependent four-wave mixing (FWM) in a five-level atomic system which driven by external magnetic field. One can obtain the FWM field that transferred from the vortex pump field carrying orbital angular momentum(OAM), and the enhancement of FWM conversion efficiency can be achieved by increasing the intensity of the vortex pump or adjusting the control field, while the FWM phase twists in different trend under the two situations. As the response to the external magnetic field, the peak conversion efficiency of FMW is attainted at the symmetrical points, where FWM phase twist direction changes symmetrically with the magnetic field. This finding holds potential applications in magnetic detection and contributes to a deep understanding of nonlinear phenomenon in the atomic system.
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We present a scheme to demonstrate the manipulation of spatially dependent four-wave mixing (FWM) in a five-level atomic system which driven by external magnetic field. One can obtain the FWM field that transferred from the vortex pump field carrying orbital angular momentum(OAM), and the enhancement of FWM conversion efficiency can be achieved by increasing the intensity of the vortex pump or adjusting the control field, while the FWM phase twists in different trend under the two situations. As the response to the external magnetic field, the peak conversion efficiency of FMW is attainted at the symmetrical points, where FWM phase twist direction changes symmetrically with the magnetic field. This finding holds potential applications in magnetic detection and contributes to a deep understanding of nonlinear phenomenon in the atomic system.