Rogue wave triggered at a critical frequency of a nonlinear resonant medium

TL;DR

This paper reveals that in a nonlinear resonant medium, a breather soliton can transform into a rogue wave at a critical frequency, demonstrating a new mechanism for rogue wave generation via intense laser fields.

Contribution

It identifies a critical frequency in a two-level atomic system where a breather soliton becomes a rogue wave, unveiling a novel rogue wave generation mechanism.

Findings

Rogue wave occurs at a specific critical frequency.

Breather soliton transforms into rogue wave at this frequency.

Mechanism links intense laser fields to rogue wave formation.

Abstract

We consider a two-level atomic system, interacting with an electromagnetic field controlled in amplitude and frequency by a high intensity laser. We show that the amplitude of the induced electric field, admits an envelope profile corresponding to a breather soliton. We demonstrate that this soliton can propagate with any frequency shift with respect to that of the control laser, except a critical frequency, at which the system undergoes a structural discontinuity that transforms the breather in a rogue wave. A mechanism of generation of rogue waves by means of an intense laser field is thus revealed.