  We analyze the light scattered by a single InAs quantum dot interacting with
a resonant continuous-wave laser. High resolution spectra reveal clear
distinctions between coherent and incoherent scattering, with the laser
intensity spanning over four orders of magnitude. We find that the fraction of
coherently scattered photons can approach unity under sufficiently weak or
detuned excitation, ruling out pure dephasing as a relevant decoherence
mechanism. We show how spectral diffusion shapes spectra, correlation
functions, and phase-coherence, concealing the ideal radiatively-broadened
two-level system described by Mollow.
