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Updated: Sep 13, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Experimental Observation of Ballistic Correlations in Integrable Turbulence
Elias Charnay1, Adrien Escoubet1, François Copie1
1PhLAM-Physique des Lasers, Atomes et Molécules, CNRS, Université de Lille, UMR 8523, F-59000 Lille, France.
Abstract:
Unequal-time correlation functions fundamentally characterize emergent statistical properties in complex systems, yet their direct measurement in experiments is challenging. We report the experimental observation of two-time, ballistic correlations in a photonic platform governed by the focusing nonlinear Schrödinger equation. Using a recirculating optical fiber loop with heterodyne field detection, we acquire the full space-time dynamics of partially coherent optical waves and extract the intensity correlator in stationary states of integrable turbulence. The correlators collapse under ballistic rescaling and quantitatively agree with predictions from generalized hydrodynamics (GHD) evaluated using the density of states obtained via inverse scattering analysis of the recorded fields. Our results provide a direct test (without any fitting parameters) of GHD in an integrable waves system.
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