Guiding-center solitons in rotating potentials

TL;DR

This paper shows that rotating potentials can support solitons in media where they normally wouldn't exist, revealing new stabilization mechanisms and critical parameters for their existence.

Contribution

It introduces the concept of using rotating quasi-one-dimensional potentials to stabilize solitons in defocusing media, a novel approach in soliton physics.

Findings

Ground-state and vortex solitons are supported at high rotation frequencies.

Stability is maximized at an optimal potential strength.

Sharp transition to stability occurs with increasing rotation frequency.

Abstract

We demonstrate that rotating quasi-one-dimensional potentials, periodic or parabolic, support solitons in settings where they are otherwise impossible. Ground-state and vortex solitons are found in defocusing media, if the rotation frequency exceeds a critical value. The revolving periodic potentials exhibit the strongest stabilization capacity at a finite optimum value of their strength, while the rotating parabolic trap features a very sharp transition to stability with the increase of rotation frequency.