  The quantum dynamics of a strongly driven, strongly coupled
single-atom-cavity system is studied by evaluating time-dependent second- and
third-order correlations of the emitted photons. The coherent energy exchange,
first, between the atom and the cavity mode, and second, between the
atom-cavity system and the driving laser, is observed. Three-photon detections
show an asymmetry in time, a consequence of the breakdown of detailed balance.
The results are in good agreement with theory and are a first step towards the
control of a quantum trajectory at larger driving strength.
