High-dimensional frequency conversion in a hot atomic system

One of the major difficulties in realizing a high-dimensional frequency converter for conventional optical vortex(COV)modes stems from the difference in ring diameter of the COV modes with different topological charge numbers l.Here,we implement a high-dimensional frequency converter for perfect optical vortex(POV)modes with invariant sizes by way of the four-wave mixing(FWM)process using Bessel–Gaussian beams instead of Laguerre–Gaussian beams.The measured conversion efficiency from 1530 to 795 nm is independent of l at least in subspace l∈{-6,………,6},and the achieved conversion fidelities for two-dimensional(2D)superposed POV states exceed 97%.We further realize the frequency conversion of 3D,5D,and 7D superposition states with fidelities as high as 96.70%,89.16%,and 88.68%,respectively.The proposed scheme is implemented in hot atomic vapor.It is also compatible with the cold atomic system and may find applications in high-capacity and long-distance quantum communication.