Langevin model for soliton molecules in ultrafast fiber ring laser cavity: investigating experimentally the interplay between noise and inertia

TL;DR

This paper develops a Langevin model based on experimental data to describe the stochastic and deterministic dynamics of soliton molecules in ultrafast fiber lasers, enabling detailed analysis of noise effects and response dynamics.

Contribution

The authors introduce a novel Langevin model derived from experimental data to analyze noise and inertia effects in soliton molecules within fiber lasers.

Findings

Successfully modeled soliton molecule dynamics including noise effects.

Analyzed the response of soliton molecules to external perturbations.

Provided a framework applicable to other particle-tracing systems.

Abstract

The dynamics of soliton molecules in ultrafast fiber ring laser cavity is strongly influenced by noise. We show how a parsimonious Langevin model can be constructed from experimental data, resulting in a mathematical description that encompasses both the deterministic and stochastic properties of the evolution of the soliton molecules. In particular, we were able to probe the response dynamics of the soliton molecule to an external kick in a sub-critical approach, namely without the need to actually disturb the systems under investigation. Moreover, the noise experienced by the dissipative solitonic system, including its distribution and correlation, can now be also analyzed in details. Our strategy can be applied to any systems where the individual motion of its constitutive particles can be traced; the case of optical solitonic-system laser presented here serving as a proof-of-principle demonstration.