  We propose a novel design for a hermetically sealable device consisting of
charged linear and nonlinear membranes driven in the Gigahertz range in vacuum
setting, as a source of antibunched single phonons. Constraints for effecting
phonon antibunching are found using the stationary Liouville-von Neumann master
equation. Using analytical calculations, material and geometry optimization we
show that sizes of the proposed system can be upscaled to near-micrometer
range, in a trade-off with the system operating temperature. The results are
significant to realize quantum Phononics which has much promise as a modality
for sensing and computing applications.
