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

By Filippus S. Roux

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

Topics: Physics - Optics, Quantum Physics
Year: 2011
DOI identifier: 10.1103/PhysRevA.83.053822
OAI identifier: oai:arXiv.org:1102.5166
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