Orbital angular momentum entanglement states of Gaussian–Schell beam pumping in low-order non-Kolmogorov turbulent aberration channels

Abstract

Based on the Rytov approximation, we analyze the effect of the pump beam's space-coherence of parametric down-conversion on entangled orbital angular momentum (OAM) states propagation in slant low-order turbulence aberration channels. The detection probability of signal photon of entangled OAM states is modeled. Our numerical evaluation shows that the signal photon detection probability and the crosstalk probability decay nonlinearly with the increasing of the number of space coherent speckle and the OAM quantum number of signal photon in the channels of Z-tilt aberration, astigmatism aberration, defocus aberration and coma aberration declines. The OAM entanglement states of low spatial coherence are improper to be used for the carrier wave of the encoding of OAM. The signal photon detection probability decreases as the power-law exponent of non-Kolmogorov spectrum increases from 3 to 4, in the turbulence Z-tilt, astigmatism and coma aberrations channels.