A bouncing droplet with its associated wavefield forms a hydrodynamic analog of de Broglie's pilot-wave. Two bouncing droplets are trapped in their respective cavities and become correlated oscillators at a distance. Then a wide barrier suddenly isolates the two oscillators which transition to new and identical distributions, as a consequence of the previously established correlations. These distributions are different from what they would have been had the oscillators been isolated at the onset.