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

2025/03/17 by Fache, Loic, Copie, Francois, Suret, Pierre +1 · 1 citation
#FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS)

paper · doi:10.48550/arxiv.2503.13030

Abstract

We present optical fiber experiments investigating the perturbed, non-integrable 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 nearly monochromatic 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.

Cited by

• Controlled manipulation of solitons in a recirculating fiber loop using external potentials

Related

• Experimental observation of the spatio-temporal dynamics of breather gases in a recirculating fiber loop
• Dissipation-driven emergence of a soliton condensate in a nonlinear electrical transmission line
• Irreversible thermalization vs reversible dynamics mediated by anomalous correlators: Wave turbulence theory and experiments in optical fibers
• Soliton Gas: Theory, Numerics and Experiments
• Dissipative Soliton Fiber Lasers with Higher-Order Nonlinearity, Multiphoton Absorption and Emission, and Random Dispersion