Ultra-high-amplitude Peregrine solitons induced by helicoidal spin-orbit coupling

TL;DR

This paper investigates ultra-high-amplitude Peregrine solitons in a Bose-Einstein condensate with helicoidal spin-orbit coupling, revealing their potential for experimental observation and dependence on system parameters.

Contribution

It introduces the existence of abnormal, ultra-high-amplitude Peregrine solitons in a helicoidal spin-orbit coupled Bose-Einstein condensate, highlighting their dependence on coupling strength and helicity.

Findings

Peregrine solitons can reach indefinitely large amplitudes normalized to the background.

These solitons exist within a range of weak modulation instability.

The study suggests feasibility of experimental observation of these solitons.

Abstract

In the framework of the model of a spatially non-uniform Bose-Einstein condensate with helicoidal spin-orbit (SO) coupling, we find abnormal Peregrine solitons (PSs) on top of flat and periodic backgrounds, with ultra-high amplitudes. We explore the roles of the SO coupling strength and helicity pitch in the creation of these anomalously tall PSs and find that their amplitude, normalized to the background height, attains indefinitely large values. The investigation of the modulation instability (MI) in the same system demonstrates that these PSs exist in a range of relatively weak MI, maintaining the feasibility of their experimental observation.