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We experimentally investigate the optical storage of perfect optical vortex(POV) and spatially multimode perfect optical vortex (MPOV) beams viaelectromagnetically induced transparency (EIT) in a hot vapor cell. Inparticular, we study the role that phase gradients and phase singularities playin reducing the blurring of the retrieved images due to atomic diffusion. Threekinds of manifestations are enumerated to demonstrate such effect. Firstly, thesuppression of the ring width broadening is more prominent for POVs with largerorbital angular momentum (OAM). Secondly, the retrieved double-ring MPOV beams'profiles present regular dark singularity distributions that are related totheir vortex charge difference. Thirdly, the storage fidelities of thetriple-ring MPOVs are substantially improved by designing line phasesingularities between multi-ring MPOVs with the same OAM number but $\pi$offset phases between adjacent rings. Our experimental demonstration of MPOVstorage opens new opportunities for increasing data capacity in quantummemories by spatial multiplexing, as well as the generation and manipulation ofcomplex optical vortex arrays.

Phase gradient protection of stored spatially multimode perfect optical vortex beams in a diffused rubidium vapor