Numerical Exploration of Soliton Creation

TL;DR

This paper investigates how solitons are classically produced in the easy axis O(3) model in 1+1 dimensions, analyzing initial conditions, fractal parameter space, and new initial setups to understand soliton formation.

Contribution

It provides a detailed numerical analysis of soliton creation, revealing fractal structures and introducing counter-spinning initial conditions to improve soliton production understanding.

Findings

Soliton production exhibits fractal dependence on initial conditions.

Low velocity breathers are more effective for soliton creation.

Counter-spinning initial conditions can enhance soliton formation.

Abstract

We explore the classical production of solitons in the easy axis O(3) model in 1+1 dimensions, for a wide range of initial conditions that correspond to the scattering of small breathers. We characterize the fractal nature of the region in parameter space that leads to soliton production and find certain trends in the data. We identify a tension in the initial conditions required for soliton production - low velocity incoming breathers are more likely to produce solitons, while high velocity incoming breathers provide momentum to the final solitons and enable them to separate. We find new "counter-spinning" initial conditions that can alleviate some of this tension.