  We investigate the exciton complexes photoluminescence, dynamics and photon
statistics in the concurrent strong weak coupling regime in our unique site
controlled singular inverted pyramidal InGaAs/GaAs quantum dots photonic
crystal cavities platform. Different from a clear boundary between strong and
weak QD cavity coupling, we demonstrate the strong and weak coupling can
coexist dynamically, as a form of intermediate regime mediated by phonon
scattering. The detuning dependent microphotoluminescence spectrum reveals
concurrence of exciton cavity polariton mode avoided crossing, as a signature
of Rabi doublet of the strong coupled system, the blue shifting of coupled
exciton cavity mode energy near zero detuning ascribed to the formation of
collective states mediated by phonon assisted coupling, and their partial out
of synchronization linewidth narrowing linked to their mixed behavior. By
detailing the optical features of strongly confined exciton-photon complexes
and the quantum statistics of coupled cavity photons, we reveal the dynamics
and antibunching/bunching photon statistical signatures of the concurrent
strong weak intermediate coupled system at near zero-detuning. This study
suggests our device has potential for new and subtle cavity quantum
electrodynamical phenomena, cavity enhanced indistinguishable single photon
generation, and cluster state generation via the exciton-photon complexes for
quantum networks.
