A correlation with phonons sustained by a pair of electromechanical resonators that differ both in size and frequency is demonstrated.In spite of 5 Piece Round Table Dining Room the electromechanical resonators being spatially distinct, they can still be strongly dynamically coupled via a classical analogue of the beam splitter interaction with a cooperativity exceeding five, and parametric down-conversion which results in both resonators self-oscillating.This latter regime yields a classical variant of a two-mode squeezed state which is identified as perfectly Rubber Stopper correlated phase-locked vibrations between the two resonators.
The creation of a correlation between two separate mechanical resonators suggests that extending this interaction to vacuum phonon states could enable a macroscopic two-mode squeezed state to be generated.Conversely, the ability to resolve the correlated state via the self-oscillations could be harnessed to build a new class of detector where an external stimulus neutralises the phase-locked vibrations.