Dissipation-Driven Emergence of a Soliton Condensate in a Nonlinear Electrical Transmission Line

We present an experimental study on the perturbed evolution of Korteweg-de Vries soliton gases in a weakly dissipative nonlinear electrical transmission line. The system's dynamics reveal that an initially dense, fully randomized soliton gas evolves into a coherent macroscopic state identified as a soliton condensate through nonlinear spectral analysis. The emergence of the soliton condensate is driven by the spatial rearrangement of the systems's eigenmodes and by the proliferation of new solitonic states due to nonadiabatic effects, a phenomenon not accounted for by the existing hydrodynamic theories.

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Publication Details

Journal
Physical Review Letters
Published
2025-04-07
DOI
https://doi.org/10.1103/physrevlett.134.147201
Citations
5
Primary Topic
Nonlinear Photonic Systems
Type
article
Field-Weighted Citation Impact
6.62

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Dissipation-Driven Emergence of a Soliton Condensate in a Nonlinear Electrical Transmission Line

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article

Dissipation-Driven Emergence of a Soliton Condensate in a Nonlinear Electrical Transmission Line

Giacomo Roberti, G. A. Él, T. Congy, Stéphane Randoux, François Copie, Thibault Bonnemain, Pierre Suret, Loic Fache, Hervé Damart
article en
5 citations

Abstract

We present an experimental study on the perturbed evolution of Korteweg-de Vries soliton gases in a weakly dissipative nonlinear electrical transmission line. The system's dynamics reveal that an initially dense, fully randomized soliton gas evolves into a coherent macroscopic state identified as a soliton condensate through nonlinear spectral analysis. The emergence of the soliton condensate is driven by the spatial rearrangement of the systems's eigenmodes and by the proliferation of new solitonic states due to nonadiabatic effects, a phenomenon not accounted for by the existing hydrodynamic theories.

Physical Review LettersVol. 134(14)
Université de Lille (FR), Northumbria University (GB)
Simons Foundation, Isaac Newton Institute for Mathematical Sciences, Agence Nationale de la Recherche, Ministère de l'Education Nationale, de l'Enseignement Superieur et de la Recherche, Engineering and Physical Sciences Research Council, European Regional Development Fund
Affordable and clean energy
Openalex Percentile: Top 3%
Nonlinear Photonic Systems
6.62
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