Perturbed Nonlinear Evolution of Optical Soliton Gases: Growth and Decay in Integrable Turbulence
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915201630076928 |
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| author | Fache, Loic Copie, Francois Suret, Pierre Randoux, Stéphane |
| author_facet | Fache, Loic Copie, Francois Suret, Pierre Randoux, Stéphane |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_13030 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Perturbed Nonlinear Evolution of Optical Soliton Gases: Growth and Decay in Integrable Turbulence Fache, Loic Copie, Francois Suret, Pierre Randoux, Stéphane Pattern Formation and Solitons 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. |
| title | Perturbed Nonlinear Evolution of Optical Soliton Gases: Growth and Decay in Integrable Turbulence |
| topic | Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2503.13030 |