Realization of programmable nanomechanical lattice with both nearest-neighboring and next-nearest-neighboring couplings
Shaochun Lin, Tian Tian, Pu Huang, Peiran Yin, Liang Zhang, Jiangfeng, Du

TL;DR
This paper demonstrates a programmable nanomechanical lattice with tunable nearest and next-nearest neighbor couplings, enabling advanced control over mechanical interactions for applications in physics and engineering.
Contribution
It presents the first experimental realization of a scalable, programmable nanomechanical lattice with both NN and NNN couplings controlled by external voltages.
Findings
Both NN and NNN couplings are tunable over a wide range.
Coupling strengths are linearly proportional to manipulation voltage.
Long-range coupling enables complex lattice structures.
Abstract
The programmable artificial lattice, based on the controllability of coupling strengths and the scalability of multiple sites, is desperately desired in engineering metamaterials and exploring fundamental physics. In this work, we experimentally present a programmable lattice consisting of multiple paralleled nanomechanical resonators, whose internal interactions can be linearly manipulated by external voltages. Flexural modes of nearest-neighboring (NN) and next-nearest-neighboring (NNN) resonators are parametrically coupled through modulated electrostatic interactions. Particularly, in a wide range up to deep strong coupling regime, both the NN and NNN coupling strengths are precisely proportional to manipulation voltage. The realization of long-range coupling provides a promising prospect in constructing complex lattice structure, which is essential in investigating mechanical logic…
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