Non-Markovian evolution of multiphoton states in turbulence

Abstract

An evolution equation for multiphoton states propagating through turbulence is derived without making a Markovian approximation. The state is represented as a Wigner functional to incorporate all spatiotemporal degrees of freedom. The resulting non-Markovian evolution equation is used to argue that initial Gaussian states do not remain Gaussian during propagation. Possible solutions of this evolution equation are discussed.

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