Propagation of perfect Laguerre–Gaussian entangled states in non-Kolmogorov atmospheric turbulence

We investigate the impacts of backward scattering (BS) of non-Kolmogorov turbulence on the entangled perfect Laguerre–Gaussian (PLG) beams. The explicit expressions for PLG quantum entanglement and quantum coherence are derived in the BS case. We find that the introduction of BS reduces the entanglement and coherence, disrupts the initial decay characteristics, and induces the revival of entanglement and coherence, in which sense turbulence may possess a non-Markovian (memory) effect. As the OAM number increases, the non-Markovian feature increases logarithmically. In addition, the universal decay of entanglement and coherence and the non-Kolmogorov effects are also explored.