2014/04/08 by Filippus S. Roux, Filippus S Roux · 19 citations
Computer Science · Physics and Astronomy · #Differential equation #Lindblad equation #Master equation #Operator (biology) #Orbital Angular Momentum in Optics #Order (exchange) #Photon #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Scintillation #Squeezed coherent state #physics.optics #quant-ph
paper · pdf · doi:10.1088/1751-8113/47/19/195302
published in Journal of Physics A Mathematical and Theoretical 47(19), 195302 (Institute of Physics) · 17 pages, 1 figure. Accepted for publication in J. Phys. A
arxiv created 2014/04/08 · openalex publication_date 2014/04/23 · arxiv updated 2015/06/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The quantum state for the spatial degrees of freedom of photons propagating through turbulence is analyzed. The turbulent medium is modeled by a single phase screen for weak scintillation conditions and by multiple phase screens for general scintillation conditions. In the former case the process is represented by an operator product expansion, leading to an integral expression that is consistent with current models. In the latter case the evolution of the density operator is described by a first-order differential equation with respect to the propagation distance. It is shown that this differential equation has the form of a Lindblad master equation. Additionally, it is shown that this differential equation can take on the form of the infinitesimal propagation equation.