Superpositions of bright and dark solitons supporting the creation of balanced gain and loss optical potentials

TL;DR

This paper introduces a method to create complex optical potentials with real spectra by superimposing bright and dark solitons, enabling balanced gain and loss in Kerr media for stable light propagation.

Contribution

It presents a novel approach to construct complex potentials using superpositions of bright and dark solitons, supporting balanced gain and loss in optical systems.

Findings

Complex potentials with all-real spectra are constructed.

The potentials enable balanced gain and loss in Kerr media.

Superpositions of solitons support stable light propagation.

Abstract

Bright and dark solitons of the cubic nonlinear Schrodinger equation are used to construct complex-valued potentials with all-real spectrum. The real part of these potentials is equal to the intensity of a bright soliton while their imaginary part is defined by the product of such soliton with its concomitant, a dark soliton. Considering light propagation in Kerr media, the real part of the potential refers to the self-focusing of the signal and the imaginary one provides the system with balanced gain-and-loss rates.