Generation and Propagation of Topological Solitons in a Chain of Coupled Parametric-Micromechanical-Resonator Arrays

Using a coupled parametric resonator array for generating and propagating a topological soliton in its rotating-frame phase space is theoretically and numerically investigated. In an analogy with the wellknown phi 4 model, the existence of a soliton is topologically protected, as the boundary of two different phase domains of parametric oscillation. Numerical simulation indicates that propagation can be triggered by switching of the phase state of one specific resonator, and the effects of damping, collision, and symmetry lifting by the harmonic drive on the propagation dynamics are studied. The topological soliton can be implemented by using electromechanical resonators, which allow its propagation dynamics to be precisely electrically controlled and provide a fully controlled on-chip test bed for the study of a topological soliton.

Automated summary

The research investigates the theoretical and numerical generation and propagation of a topological soliton using a coupled parametric resonator array. The topological protection of the soliton, triggered propagation by switching resonator phase, and effects of damping, collision, and harmonic drive on propagation dynamics are studied. The study also explores the implementation of a topological soliton using electromechanical resonators for precise electrical control of propagation dynamics.