  We demonstrate off-resonant coupling between a single quantum dot and a
nanobeam photonic crystal cavity, under resonant excitation of the quantum dot
or the cavity. These results are consistent with previous descriptions of
off-resonant coupling as an incoherent phonon-mediated process. The extension
of this phenomenon to a nanobeam photonic crystal cavity presents interesting
possibilities for coherent control of this interaction by tailoring the phonon
density of states.
