Quantum correlations between electrons and phonons are demonstrated in
two-dimensional semiconductors. The resulting phonon oscillation exhi
bits characteristic differences with respect to the three-dimensional
parent system. We show how these correlations can unambiguously be dis
tinguished from nonequilibrium coherent phonons. Furthermore, coherent
control allows separation of the phonon oscillation from another osci
llation observed here, specific to two-dimensional systems, which is d
ue to the interference of two electron-electron scattering channels as
sociated with different quantum-well subbands.