Universal entanglement decay of photonic orbital angular momentum qubit states in atmospheric turbulence: an analytical treatment

Abstract

We study the entanglement evolution of photonic orbital angular momentum qubit states with opposite azimuthal indices l0, in a weakly turbulent atmosphere. Using asymptotic methods, we deduce analytical expressions for the amplitude of turbulence-induced crosstalk between the modes l0 and -l0. Furthermore, we analytically establish distinct, universal entanglement decay laws for Kolmogorov's turbulence model and for two approximations thereof.

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