  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 devices,
topological physics and coherent phononic dynamics.
