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