Infinitesimal propagation equation for decoherence of an OAM entangled biphoton in atmospheric turbulence

Details Infinitesimal propagation equation for decoherence of an OAM entangled biphoton in atmospheric turbulence Infinitesimal propagation equation for decoherence of an OAM entangled biphoton in atmospheric turbulence

2011-02-25

arxiv.org/abs/1102.5166v2

Physical Review A, Vol 83, 053822 (2011)

Physics

Optics

12 pages, 3 figures, expanded version of arXiv:1009.1956. Minor corrections to improve clarity

Scientific paper

10.1103/PhysRevA.83.053822

We derive a first order differential equation for the decoherence of an orbital angular momentum entangled biphoton state propagating through a turbulent atmosphere. The derivation is based on the distortion that orbital angular momentum states experience due to propagation through a thin sheet of turbulent atmosphere. This distortion is treated as an infinitesimal transformation leading to a first order differential equation, which we call an infinitesimal propagation equation. The equation is applied to a simple qubit case to show how the entanglement decays.

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