Two photonic qubits, initially maximally entangled in OAM modes of Hermite-Gaussian HG vortex beam, propagating through non-Kolmogorov turbulence are investigated numerically. The influences of turbulence parameter (i.e., the generalized exponent, the outer scale of turbulence, and the inner scale of turbulence) and OAM values on the entanglement evolution of two photon are investigated and compared with those of the Laguerre-Gaussian (LG) beam. The results indicate that the OAM entanglement to be more robust in turbulence for the higher OAM values, the higher generalized exponent. Moreover, the influence of the turbulence inner scale and outer scale on OAM entanglement can be ignored. The OAM entanglement of HG vortex beam is better than the OAM entanglement of LG beam for resisting the entanglement decoherence of atmosphere turbulence under the same conditions.
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