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Perturbed Nonlinear Evolution of Optical Soliton Gases: Growth and Decay in Integrable Turbulence

Loic Fache, François Copie, Pierre Suret, and Stéphane Randoux*

  • Univ. Lille, CNRS, UMR 8523—PhLAM—Physique des Lasers Atomes et Molécules, F-59 000 Lille, France

  • *Contact author: stephane.randoux@univ-lille.fr

Phys. Rev. Lett. 135, 157201 – Published 8 October, 2025

DOI: https://doi.org/10.1103/hwpr-628r

Abstract

We present optical fiber experiments investigating the perturbed, nonintegrable evolution of soliton gases (SGs) under weak linear damping and gain. By measuring the amplitude and phase of the optical field in a recirculating loop, we determine the spectral distribution of SGs at various propagation distances. We demonstrate that a SG, initially prepared as a soliton condensate with a Weyl distribution, undergoes significant changes in its spectral distribution due to dissipation. Specifically, weak gain leads to the emergence of a bichromatic SG, while weak damping results in a SG with a semicircular spectral distribution at long propagation distances. These observed dissipation-driven changes in the SG’s spectral characteristics are not explained by existing hydrodynamic or kinetic theories.

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