Effects of turbulence on the orbital angular momentum entanglement of multi-Gaussian Schell beam pumping

The effects of turbulence on the orbital angular momentum entanglement of two photons generated by multi-Gaussian Schell-model beams pumping are investigated in a slant atmospheric channel. The effective coincidence probability and the effective signal photon detection probability models are derived which lead to crosstalk law among eigenmodes of different orbital angular momentum states. Our work shows that the larger the new correlation width the lower mode crosstalk between orbital angular momentum modes. The effective coincidence probability and the effective signal photon detection probability degrade slowly with increasing of the power-law exponent α of non-Kolmogorov turbulence from 3 to 3.7, but from 3.7 to 4, the effective coincidence probability and signal photon detection probability degrade rapidly.