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Journal of Optics

Nonlinear control of polarization rotation of hybrid-order vector vortex beams

Dajin Luo, Huajie Hu, Churong Pan, Yingxin Zhang, Yan Qin, Haixia Chen, Dong Wei, Hong Gao, Fuli Li

Published Oct 6, 2020• 7 citations
Publisher

Abstract

Abstract Vector vortex beams are widely concerned for their application prospects in various fields. Here we study the polarization rotation of hybrid-order vector vortex beam (HVVB) in hot atomic vapor both theoretically and experimentally. In this work, the HVVB is experimentally generated by combining two q-plates with a polarization beam splitter, and this method is verified by analyzing Jones vector based on the orthogonal circular polarization basis. We have experimentally investigated the polarization rotation of HVVB during the propagation in free space and atomic media. In free space, the polarization rotation characterized by rotation of horizontal components of the beams, has a limitation due to the effect of Gouy phase. In contrast, the polarization rotation angle in atomic media can break through this limitation due to the non-linearity and can be controlled by adjusting the relevant atomic parameters. The experimental results can be simulated by the theoretical model about cross-phase modulation of vector beams in a two-level atomic system.

DOI
10.1088/2040-8986/abbecb

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Abstract Vector vortex beams are widely concerned for their application prospects in various fields. Here we study the polarization rotation of hybrid-order vector vortex beam (HVVB) in hot atomic vapor both theoretically and experimentally. In this work, the HVVB is experimentally generated by combining two q-plates with a polarization beam splitter, and this method is verified by analyzing Jones vector based on the orthogonal circular polarization basis. We have experimentally investigated the polarization rotation of HVVB during the propagation in free space and atomic media. In free space, the polarization rotation characterized by rotation of horizontal components of the beams, has a limitation due to the effect of Gouy phase. In contrast, the polarization rotation angle in atomic media can break through this limitation due to the non-linearity and can be controlled by adjusting the relevant atomic parameters. The experimental results can be simulated by the theoretical model about cross-phase modulation of vector beams in a two-level atomic system.
Vector vortex beams with varying polarization on the transversal profile can be used to increase information capacity and found applications in optical communication, optical trapping, high-resolution imaging, and quantum information. Here, we experimentally generate polarization-vector vortex mode hybrid entangled photon pairs in warm 85 Rb atomic vapor via spontaneous four-wave mixing (SFWM). Specifically, we firstly generate non-classical biphotons with high g (2) and then achieve polarization entanglement via coherent superposition of two SFWM paths by using beam displacers in a phase self-stabilized interferometer configuration. Finally, we realize polarization-vector vortex mode hybrid entanglement by utilizing q-plates, and a fidelity of 94.92% is obtained. This work may benefit the use of vector vortex beams in a quantum network based on atoms.
In recent years, many researchers have tried to control and design the collapsing behavior of light beams in nonlinear media. Vector beams coupling with spin and orbit angular momentum freedom have attracted more and more attention. In this Letter, we study the collapse of a hybrid vector beam (HVB) propagating through rubidium atomic vapor. First, the HVB collapses into filaments located at positions with linear polarization. As propagation distance in atomic vapor increases, the locations of the filaments switch from positions with linear polarization to those with circular polarization. In this process, the absorption of the medium plays an important role. Results indicate that the absorption can be used as a degree of freedom to modulate the filamentation. Furthermore, by analyzing the polarization angle of an elliptically polarized position on the transverse plane of the HVB, we demonstrate the evolution of polarization distribution of HVB during propagation. Such results could have application in manipulating other structured beams and could be potentially applied to realize optical switches or logic for information processing.
We experimentally investigate the frequency conversion of vector beams with four-wave-mixing (FWM) in rubidium vapor. The conversion of vector beams from the probe beam to the conjugate beam is realized. In FWM experiments, the pump and the probe beam have orthogonal polarizations because of the polarization sensitivity of the FWM process and detection convenience. In order to satisfy the polarization sensitive phase matching condition and realize the nonlinear frequency conversion of vector beams, a Sagnac interferometer is used to form two FWM processes in the same rubidium cell, and two generated conjugate beams are combined with a polarizing beam splitter to form a conjugate vector beam. The experimental results agree well with our theoretical simulation. Compared with nonlinear optical crystals, the atomic vapor provides another platform to control and manipulate the vector beams nonlinearly.
The perfect hybrid vector vortex beam (PHVVB) with helical phase wavefront structure has aroused significant concern in recent years, as its beam waist does not expand with the topological charge (TC). In this work, we investigate the spatial quantum coherent modulation effect with PHVVB based on the atomic medium, and we observe the absorption characteristic of the PHVVB with different TCs under variant magnetic fields. We find that the transmission spectrum linewidth of PHVVB can be effectively maintained regardless of the TC. Still, the width of transmission peaks increases slightly as the beam size expands in hot atomic vapor. This distinctive quantum coherence phenomenon, demonstrated by the interaction of an atomic medium with a hybrid vector-structured beam, might be anticipated to open up new opportunities for quantum coherence modulation and accurate magnetic field measurement.
Vector beams (VBs) with potential applications are successfully utilized in many fields as light sources with a spatially-varying polarization profile in recent years. Here, we study the transmission of a VB by manipulating atomic polarization via the optical pumping effect. By using hybridly and radially polarized beams as pump and probe beams in a counter-propagating configuration, we observe a four-petal pattern intensity distribution of probe beam, and the four-petal pattern rotates with the polarization state orientation of the pump beam. The results show a polarization dependent absorption in the atomic media. We experimentally demonstrate the absorption characteristics under different polarization combinations of pump and probe beams. The Jones matrix method is used to explain this phenomenon and the simulations are consistent with the experimental observation. Our results may provide a sound foundation for applications in optical manipulation and quantum information in atomic ensembles.
We consider the optical rotation of the polarization of a linearly polarized probe field passing through an M-type atomic system by using the interaction between two vortex control fields and optical transitions. We investigate theoretically to generate the spatially dependent structured light with the atoms acting as a spatially varying circular birefringent medium. We show that the polarization and intensity distributions of the vector beam spatially vary by changing the orbital angular momentum (OAM) of the vortex control field.