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Physical Review A

Control of space-dependent four-wave mixing in a four-level atomic system

Jing Qiu, Zhiping Wang, Dong-Sheng Ding, Zhixiang Huang, Benli Yu

Published Sep 18, 2020• 59 citations
Publisher

Abstract

We propose a scheme to demonstrate the manipulation of space-dependent four-wave mixing (FWM) in a four-level atomic system. By adjusting the detuning of the control field, one can effectively control the FWM output field transferred from a pump beam carrying orbital angular momentum. More interestingly, by appropriate choice of the intensity of the control field, the FWM field can be significantly enhanced and phase twist is almost completely suppressed. Furthermore, the superposition modes created by the interference between the FWM field and a same-frequency Gaussian beam are also discussed, showing many interesting properties. Our results may open some possibilities for phase imprinting in Bose-Einstein condensates or atom manipulation with optical tweezers.

DOI
10.1103/physreva.102.033516

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We propose a scheme to demonstrate the manipulation of space-dependent four-wave mixing (FWM) in a four-level atomic system. By adjusting the detuning of the control field, one can effectively control the FWM output field transferred from a pump beam carrying orbital angular momentum. More interestingly, by appropriate choice of the intensity of the control field, the FWM field can be significantly enhanced and phase twist is almost completely suppressed. Furthermore, the superposition modes created by the interference between the FWM field and a same-frequency Gaussian beam are also discussed, showing many interesting properties. Our results may open some possibilities for phase imprinting in Bose-Einstein condensates or atom manipulation with optical tweezers.
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.
We propose a scheme to generate spatially dependent four-wave mixing (FWM) in an asymmetric semiconductor three-coupled-quantum-well nanostructure. By adjusting the detuning of the control field, one can effectively manipulate the FWM output field. Specifically, the vortex phase of the FWM field can be modulated. The detailed explanations based on the dispersion relation are given, which are in good agreement with our results. Furthermore, we perform the interference between the FWM field and the same-frequency Gaussian beam. Our results show that the interference patterns can also be modulated via the detuning of the control field, which may provide a way to observe helical phase modulation via the intensity measurement. This work may be useful for investigating the nonlinear optical phenomena based on orbital angular momentum light.
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.
In a recent publication [S. Gan, Laser Phys. 31, 055401 (2021)], a scheme for controlling the vortex four-wave mixing (FWM) in a five-level atomic system has been put forward. Based on this work, we propose a new scheme for the spatial manipulation via four-wave mixing in a five-level atomic system when the radial index is considered. It is found that the phase and intensity of the FWM field can be spatially manipulated. More importantly, we show the superposition modes created by the interference between the FWM field and a same-frequency Gaussian beam, which can also be controlled via the corresponding parameters. Our research is helpful to understand and manipulate optical vortices and can be widely used in quantum computation and communication.
We describe a theoretical investigation of a four-wave mixing (FWM) scheme in a six-level atomic system driven by a field with orbital angular momentum and making use of two electromagnetically induced transparency (EIT) control fields. The obtained results allow us to control the helical phase of the output FWM field by varying the intensities of the two EIT control fields as well as the detuning of the probe field. More interestingly, we can achieve FWM output fields that are very stable under variation of the system parameters and allow the helical phase twist to be manipulated and suppressed, if desired, by adjusting the probe detuning. In this way, our scheme may open a tool to control the helical phase in a compact, efficient, and robust way.
Abstract We study various coherent optical properties, e.g., two-photon electromagnetically induced transparency (EIT) and three-photon electromagnetically induced transparency and absorption (TPEIT/TPEIA), in a four-level ladder (Ξ)-type system of 87Rb atoms, where the probe and control fields are Gaussian-shaped laser beams and the pump field is structured laser beam. Additionally, the generated four-wave mixing (FWM) signal has been studied. Interestingly, it is found that the generated FWM signal is spatially structured along with the azimuthal phase, which carries the orbital angular momentum (OAM) of light. It is also observed that the coherent optical responses (EIT, TPEIT/TPEIA, and FWM signals) can be manipulated by utilizing the OAM number of the pump beam as a control knob.