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arXiv:quant-ph/0603086 · Physical Review A

Computation of topological charges of optical vortices via nondegenerate four-wave mixing

Wei Jiang, Qun-feng Chen, Yong-Sheng Zhang, Guang‐Can Guo

Published Oct 13, 2006• 57 citations
arXivHTMLPDF

Abstract

In this paper, we report an experiment, which demonstrates computation of topological charges of two optical vortices via a nondegenerate four-wave-mixing process. We show that the output signal photon carries orbital angular momentum which equals to the subtraction of the orbital angular momenta of the probe light photon and the backward pump light photon. The $^{85}\mathrm{Rb}$ atoms are used as the nonlinear medium, which transfers the orbital angular momenta of lights.

DOI
10.1103/physreva.74.043811

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In this paper, we report an experiment, which demonstrates computation of topological charges of two optical vortices via a nondegenerate four-wave-mixing process. We show that the output signal photon carries orbital angular momentum which equals to the subtraction of the orbital angular momenta of the probe light photon and the backward pump light photon. The 85Rb^{85}\mathrm{Rb}85Rb atoms are used as the nonlinear medium, which transfers the orbital angular momenta of lights.
We investigate the spatial and quantum intensity correlations between the probe and Stokes optical fields produced via four-wave mixing in a double-Λ configuration, when both incoming probe and control fields carry non-zero optical orbital angular momentum (OAM). We observed that the topological charge of the generated Stokes field obeyed the OAM conservation law. However, the maximum values and optimal conditions for the intensity squeezing between the probe and Stokes fields were largely independent of the angular momenta of the beams, even when these two fields had significantly different OAM charges. We also investigated the case of a composite-vortex pump field, containing two closely positioned optical vortices, and showed that the generated Stokes field carried the OAM corresponding to the total topological charge of the pump field, further expanding the range of possible OAM manipulation techniques.
We analyze the properties of vortex probe transmission signal (PTS), four-wave mixing (FWM) and six-wave mixing (SWM) via photonic band gap in an atomic ensemble with different topological charge ( ). We demonstrate the transfer of orbital angular momentum (OAM) from probe to SWM in experiment. We show that the shapes of vortex SWM and FWM spots intensity have been manipulated by the interaction, which can be modulated by the detuning and topological charge of related fields, between helical phase and nonlinear phase. Due to the stronger interaction, the shape of vortex FWM and SWM with m = 2, m = 3 are strongly destroyed compared to m = 1. Such results could have potential applications in logical gates for quantum computation.
Orbital angular momentum (OAM), characterized by a topological charge ℓ (ℓ integer), serves as a promising vehicle for carrying quantum information. Generating a nonclassical field involving two or more OAM modes can largely enhance the data-carrying capacity of quantum information processing. In this Letter, we present the implementation of a four-wave mixing (FWM) process, featuring a pump beam of a coherent OAM superposition mode and a probe beam of a single OAM mode. We generate twin beams encompassing multiple OAM modes and illustrate their quantum correlation when the pump beam assumes different coherent OAM superposition modes. Furthermore, we analyze the OAM mode components in each output field to deepen our understanding of the nonlinear interaction among different OAM modes. The obtained results show the rich structure of the nonlinear interaction of OAM modes in the FWM process and provide a perspective to study quantum information protocols.