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Journal of the Optical Society of America B

Spatial and frequency dressed multimode of two spontaneous cascaded four-wave mixing processes

Yufeng Li, Siqiang Zhang, Jiajia Wei, Jiaxuan Wei, Irfan Ahmed, Binshuo Luo, Changbiao Li, Yanpeng Zhang

Published Feb 6, 2023• 2 citations
Publisher

Abstract

The frequency and spatial multimode of correlated fields are seen as essential resources for future multimode entanglement and quantum networks. Here, we present multimode properties from the process of parametric amplified cascaded four-wave mixing through a rubidium atomic ensemble under dressing and Kerr nonlinear effects. The experimental results complement the theoretical simulations. Three frequency modes and 34 spatial spots were experimentally observed due to the double-dressing and Kerr effect of the two pump fields. Further, it is verified that changing the pump field frequency has a larger line shift over pump field power and the angle between the two pump fields, which can be realized as a multicontact switch. Through a dressing effect, interestingly the number of coherent channels also increases by the order of dressing, indicating a large possibility of frequency and spatial multimode. These results will have important applications in quantum communications.

DOI
10.1364/josab.482581

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The frequency and spatial multimode of correlated fields are seen as essential resources for future multimode entanglement and quantum networks. Here, we present multimode properties from the process of parametric amplified cascaded four-wave mixing through a rubidium atomic ensemble under dressing and Kerr nonlinear effects. The experimental results complement the theoretical simulations. Three frequency modes and 34 spatial spots were experimentally observed due to the double-dressing and Kerr effect of the two pump fields. Further, it is verified that changing the pump field frequency has a larger line shift over pump field power and the angle between the two pump fields, which can be realized as a multicontact switch. Through a dressing effect, interestingly the number of coherent channels also increases by the order of dressing, indicating a large possibility of frequency and spatial multimode. These results will have important applications in quantum communications.
The nonlinear parametric process is of great significance for achieving high-quality coherent optical signals and quantum correlated photons. With the development of classical and quantum information processing, the study of the properties of parametric processes is evolving in complex scenarios of multimode, which is limited in conventional nonlinear media due to strict phase matching, e.g. nonlinear crystals. Here we study the dressing-energy-level-cascaded four-wave mixing process to generate multimode optical parametric signals. Via cascading double-Λ type configuration of 85 Rb D 1 line, the non-degenerate energy-level-cascaded FWM is constructed to generate multimode self-parametric amplification. Moreover, with the dressing effects based on atomic coherence, the spatial and frequency multimode characteristics of energy-level-cascaded FWM parametric amplification, i.e., the modes number and pattern, are actively modulated by the pump fields detuning. Also, the spatial modes from the coupling of two coexisting spontaneous parametric FWMs can be controlled to reach tremendous scalability via the atomic coherence and Kerr non-linearity. The atomic coherence effects and unique phase-matching symmetry nature allow flexible modulation of the multimode property of the generated parametric signals within a nonlinear device, which paves a way for multimode classical and quantum information processing.
The quantum multimode of correlated fields is essential for future quantum-correlated imaging. Here we investigate multimode properties theoretically and experimentally for the parametric amplified multiwave mixing process. The multimode behavior of the signals in our system stems from spatial phase mismatching caused by frequency resonant linewidth. In the spatial domain, we observe the emission rings with an uneven distribution of photon intensity in the parametric amplified four-wave mixing process, suggesting different spatial modes. The symmetrical distribution of spatial spots indicates the spatial correlation between the Stokes and anti-Stokes signals. While in the frequency domain, the multimode character is reflected as multiple peaks splitting in the signals’ spectrum. A novelty in our experiment, the number of multimodes both in the spatial and frequency domains can be controlled by dressing lasers by modifying the nonlinear susceptibility. Finally, we extend the multimode properties to the multiwave mixing process. The results can be applied in quantum imaging.
Multiple quantum modes in correlated fields are essential for future quantum information processing and quantum computing. Here we report the generation of multi-mode phenomenon through parametric amplified four- and six-wave mixing processes in a rubidium atomic ensemble. The multi-mode properties in both frequency and spatial domains are studied. On one hand, the multi-mode behavior is dominantly controlled by the intensity of external dressing effect, or nonlinear phase shift through internal dressing effect, in frequency domain; on the other hand, the multi-mode behavior is visually demonstrated from the images of the biphoton fields directly, in spatial domain. Besides, the correlation of the two output fields is also demonstrated in both domains. Our approach supports efficient applications for scalable quantum correlated imaging.
We mainly investigate four generated four-wave-mixing (FWM) signals, and second- and fourth-order fluorescence (FL) signals, simultaneously in a cascade three-level atomic system of sodium, in which dual electromagnetically induced transparency windows are used to enable transparency of the generated FWM signals. The moving and immobile two-photon dressing effects on the FWM and multi-order FL signals as well as the interaction of dressing effects are studied. Furthermore, we investigate the spontaneous parametric FWM signal and spatial images of the transmitted probe signal modulated by the cross-Kerr nonlinearities effect of the dressing field both experimentally and theoretically. The study may find applications in all-optical communication.
Abstract Multimode properties, based on nonlinear parametric processes, have potential research value on entanglement imaging. This paper studies the spatial and frequency multimode from dressing parametric‐amplified six‐wave mixing (PA‐SWM) process with three entangled signals. The S1 signal contains fifth‐order nonlinearity, the S2 signal contains electromagnetically induced absorption and fifth‐order nonlinearity, and the S3 signal contains Autler–Townes splitting (AT), second‐ and fifth‐order nonlinearity. The frequency multimode is attributed to dressing energy level splitting in spontaneous SWM (SSWM) process. The spatial multimode is due to frequency multimode and beam splitting via Kerr nonlinearity. In the spatial domain, it finds the optimal conditions of intensity difference squeezing (IDS) and spatial imaging along with their competitive relationship. On the one hand, the light spots with single spatial mode are contributed to the maximum IDS but not conducive to entanglement imaging; on the other hand, the light spots with multiple spatial modes are instrumental in entanglement imaging but not appropriate for the IDS. This research has potential applications in squeezed light sources for quantum metrology, and correlated imaging of spatial signals.
With a forward cone emitting from the strong pump laser in a thermal rubidium atomic vapor, we investigate the non-degenerate parametrically amplified four-wave mixing (PA-FWM) process with dressing effects in a three-level "double-Λ" configuration both theoretically and experimentally. By seeding a weak probe field into the Stokes or anti-Stokes channel of the FWM, the gain processes are generated in the bright twin beams which are called conjugate and probe beams, respectively. However, the strong dressing effect of the pump beam will dramatically affect the gain factors both in the probe and conjugate channels, and can inevitably impose an influence on the quantum effects such as entangled degree and the quantum noise reduction between the two channels. We systematically investigate the intensity evolution of the dressed gain processes by manipulating the atomic density, the Rabi frequency and the frequency detuning. Such dressing effects are also visually evidenced by the observation of Autler-Townes splitting of the gain peaks. The investigation can contribute to the development of quantum information processing and quantum communications.