Non-Markovian evolution of multiphoton states in turbulence

TL;DR

This paper derives a non-Markovian evolution equation for multiphoton states in turbulence using a Wigner functional, revealing that Gaussian states lose their Gaussianity during propagation.

Contribution

It introduces a non-Markovian framework for multiphoton state evolution in turbulence, avoiding the Markovian approximation and analyzing state transformations.

Findings

Gaussian states become non-Gaussian during propagation

Derived a non-Markovian evolution equation for multiphoton states

Discussed potential solutions to the evolution equation

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.