The topological phase of bright solitons

TL;DR

This paper investigates the topological phase of bright solitons influenced by self-steepening effects, revealing their topological properties and interactions through magnetic field analogies, with potential for exploring topological phenomena.

Contribution

It introduces a novel topological description of bright solitons using vector potentials and magnetic fields, including soliton interactions and phase jumps.

Findings

Magnetic fields correspond to soliton density peaks with {c} flux.

Two solitons can generate additional topological fields.

Bright solitons can be used to explore topological properties.

Abstract

We study the topological phase of bright soliton with arbitrary velocity under the self-steepening effect. Such topological phase can be described by the topological vector potential and effective magnetic field. We find that the point-like magnetic fields corresponds to the density peak of such bright solitons, where each elementary magnetic flux is {\pi}. Remarkably, we show that two bright solitons can generate an additional topological field due to the phase jump between them. Our research provided the possibility to use bright solitons to explore topological properties.