Infinitesimal propagation equation for decoherence of an OAM entangled biphoton in atmospheric turbulence
arXiv:1102.5166 · doi:10.1103/PhysRevA.83.053822
Abstract
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.
12 pages, 3 figures, expanded version of arXiv:1009.1956. Minor corrections to improve clarity