Dissipation-driven emergence of a soliton condensate in a nonlinear electrical transmission line

TL;DR

This paper experimentally demonstrates how a dense soliton gas in a nonlinear electrical transmission line evolves into a coherent soliton condensate driven by dissipation and nonadiabatic effects, revealing new dynamics beyond existing theories.

Contribution

It provides the first experimental observation of dissipation-driven formation of a soliton condensate in a nonlinear electrical system, highlighting phenomena not explained by current hydrodynamic models.

Findings

Dense soliton gas evolves into a soliton condensate

Emergence driven by eigenmode rearrangement and nonadiabatic effects

Reveals dynamics beyond existing hydrodynamic theories

Abstract

We present an experimental study on the perturbed evolution of Korteweg-deVries 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.