High-speed soliton ejection generated from the scattering of bright solitons by modulated reflectionless potential wells

TL;DR

This paper explores how bright solitons scatter off modulated reflectionless potential wells, leading to high-speed soliton ejection through energy exchange mechanisms, with potential applications in soliton phase interferometry.

Contribution

It introduces a theoretical model explaining high-speed soliton ejection via energy transfer from trapped modes, and demonstrates control over ejection speed and phase effects.

Findings

Soliton ejection occurs when incident norm exceeds trapped mode norm.

Higher ejection speeds are achieved with multi-node trapped modes.

Two-soliton ejection can nearly double the speed of single ejection, influenced by phase differences.

Abstract

We investigate numerically and theoretically the conditions leading to soliton ejection stimulated through the scattering of bright solitons by modulated reflectionless potential wells. Such potential wells allow for the possibility of controlled ejection of solitons with significantly high speeds. At the outset, we describe the scattering setup and characterise the soliton ejection in terms of the different parameters of the system. Then, we formulate a theoretical model revealing the underlying physics of soliton ejection. The model is based on energy and norm exchange between the incident soliton and a stable trapped mode corresponding to an exact solution of the governing nonlinear Schrodinger equation. Remarkably, stationary solitons can lead to high-speed soliton ejection where part of the nonlinear interaction energy transforms to translational kinetic energy of the ejected soliton. Our investigation shows that soliton ejection always occurs whenever the incident soliton norm is greater than that of the trapped mode while their energy is almost the same. Once the incident soliton is trapped, the excess in norm turns to an ejected soliton in addition to a small amount of radiation that share translational kinetic energy. We found that higher ejection speeds are obtained with multi-node trapped modes that have larger binding energy. Simultaneous two-soliton ejection has been also induced by two solitons scattering with the potential from both of its sides. An ejection speed almost twice as that of single soliton ejection was obtained. Ejection outcome and ejection speed turn out to be sensitive to the relative phase between the two incoming solitons, which suggests a tool for soliton phase interferometry.