Realization of dynamically controlled resonator pairs in nanomechanical arrays

Nanomechanical resonator arrays constitute a promising platform for topological physics and integrated acoustic devices. However, achieving precise control of the couplings between resonators has been a significant challenge for realizing a time-dependent Hamiltonian. In this work, we address this challenge by designing the geometric parameters of the resonators, enabling us to achieve dynamical control over the coupling strength and frequency stability. Our scalable resonator array allows for the dynamic control of coupling strengths between every individual resonator pair, ranging from zero to more than 20 times the dissipation rate. Moreover, we demonstrate Rabi-like oscillations with real-time-varying Rabi frequencies. This dynamically controlled system provides an extended platform for investigating dynamic processes and their applications.