  The authors combine acousto-optoelectric and multi-channel photon correlation
spectroscopy to probe spatio-temporal carrier dynamics induced by a
piezoelectric surface acoustic wave (SAW). The technique is implemented by
combining phase-locked optical micro-photoluminescence spectroscopy and
simultaneous three-channel time resolved detection. From the recorded time
correlated single photon counting data the time transients of individual
channels and the second and third order correlation functions are obtained with
sub-nanosecond resolution. The method is validated by probing the correlations
SAW-driven carrier dynamics between three decay channels of a single polytypic
semiconductor nanowire on a conventional LiNbO$_\mathrm{3}$ SAW delay line
chip. The method can be readily applied to other types of nanosystems and probe
SAW-regulated charge state preparation in quantum dots, charge transfer
processes in van der Waals heterostructures or other types of hybrid
nanoarchitectures.
