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Evolution equation for multi-photon states in turbulence

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The recently developed Wigner functional theory is used to formulate an evolution equation for arbitrary multi-photon states, propagating through a turbulent atmosphere under arbitrary conditions. The resulting evolution equation, which… Click to show full abstract

The recently developed Wigner functional theory is used to formulate an evolution equation for arbitrary multi-photon states, propagating through a turbulent atmosphere under arbitrary conditions. The resulting evolution equation, which is obtained from an infinitesimal propagation approach, is in the form of a Fokker-Planck equation for the Wigner functional of the state and therefore incorporates functional derivatives. We briefly consider possible ways to find solutions for this equation.

Keywords: multi photon; equation multi; photon states; evolution equation; equation

Journal Title: Journal of Physics A: Mathematical and Theoretical
Year Published: 2019

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