Synthesized Kuramoto potential via optomechanical Floquet engineering.

Abstract

Synchronization is a ubiquitous scientific phenomenon in various mesoscopic oscillators. Despite its extensive importance in both nonlinear physics and innovative technologies, their dynamics in laboratory experiments is restricted to a nearly static regime governed by fixed device and system structures. Here, we explore multistable and dynamically tunable synchronization using Floquet engineering technique. Applying a periodically modulated laser light to optomechanical oscillators allows for stable and precise control of oscillator couplings. This enables us to not only explore the physics of quantized integer and fractional phase slips but also synthesize multioctave synchronizations of mechanical oscillators that exhibit tailorable multistability. Furthermore, the dynamically manipulated synchronizations lead to an exotic phase-space trajectory, which has a nontrivial winding number and giant nonreciprocity. This optomechanical Floquet engineering opens up the study of unexplored dynamics in complicated oscillator networks such as biological systems and innovative technology by mimicking their highly efficient information processing.