Synthetic magnetism for solitons in optomechanical array

TL;DR

This paper introduces a method to generate and control solitonic waves in a 1D optomechanical array using synthetic magnetism, enabling switching between different soliton types and inducing rogue waves.

Contribution

It demonstrates how synthetic magnetism, created via modulation, provides a new flexible way to manipulate solitons in optomechanical systems, expanding their potential applications.

Findings

Mechanical coupling controls soliton shape and induces rogue waves.

Synthetic magnetism enables phase-controlled wave propagation and soliton switching.

Strong coupling leads to multiple wave propagation modes.

Abstract

We propose a synthetic magnetism to generate and to control solitonic waves in $\rm{1D}-$optomechanical array. Each optomechanical cavity in the array couples to its neighbors through photon and phonon coupling. We create the synthetic magnetism by modulating the phonon hopping rate through a modulation frequency, and a modulation phase between resonators at different sites. When the synthetic magnetism effect is not taken into account, the mechanical coupling play a scrucial role of controlling and switching the waves from bright to dark solitons, and it even induces rogue wave-like a shape in the array. For enough mechanical coupling strength, the system enters into a strong coupling regime through splitting/crossing of solitonic waves leading to multiple waves propagation in the array. Under the synthetic magnetism effect, the phase of the modulation enables a good control of the wave propagation, and it also switches soliton shape from bright to dark, and even induces rogue waves as well. Similarly to the mechanical coupling, the synthetic magnetism offers another flexible way to generate plethora of solitonic waves for specific purposes. This work opens new avenues for optomechanical platforms and sheets light on their potentiality of controlling and switching solitonic waves based on synthetic magnetism.