Stable surface solitons in truncated complex potentials

TL;DR

This paper demonstrates that surface solitons in a one-dimensional nonlinear Schrödinger equation with truncated complex potentials can be stabilized by linear homogeneous losses, which balance gain and lead to stable attractors in both focusing and defocusing media.

Contribution

It introduces a method to stabilize surface solitons using homogeneous losses in complex potentials, expanding understanding of soliton stability in non-Hermitian systems.

Findings

Surface solitons can be stabilized by homogeneous losses.

Stability domains shrink with increased imaginary potential amplitude.

Stable solitons exist in both focusing and defocusing media.

Abstract

We show that surface solitons in the one-dimensional nonlinear Schr\"odinger equation with truncated complex periodic potential can be stabilized by linear homogeneous losses, which are necessary to balance gain in the near-surface channel arising from the imaginary part of potential. Such solitons become stable attractors when the strength of homogeneous losses acquires values from a limited interval and they exist in focusing and defocusing media. The domains of stability of surface solitons shrink with increase of the amplitude of imaginary part of complex potential.