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We have simulated the time evolution of the photon number distribution in asemiconductor quantum dot-microcavity system driven by chirped laser pulses andcompare with unchirped results. When phonon interactions with the dot aredisregarded - thus corresponding to the limit of atomic cavity systems -chirped pulses generate photon number distributions that change their shapedrastically in the course of time. Phonons have a strong and qualitative impacton the photon statistics. The asymmetry between phonon absorption and emissiondestroys the symmetry of the photon distributions obtained for positive andnegative chirps. While for negative chirps transient distributions resemblingthermal ones are observed, for positive chirps the photon number distributionstill resembles its phonon-free counterpart but with overall smoother shapes.In sharp contrast, using unchirped pulses of the same pulse area and durationwave-packets are found that move up and down the Jaynes-Cummings ladder with abell-shape that changes little in time. For shorter pulses and lower drivingstrength Rabi-like oscillations occur between low photon number states. For allconsidered excitation conditions transitions between sub- and super-Poissonianstatistics are found at certain times. For resonant driving with low intensitythe Mandel parameter oscillates and is mostly negative, which indicates anon-classical state in the cavity field. Finally, we show that it is possiblethat the Mandel parameter dynamically approaches zero and still the photondistribution exhibits two maxima and thus is far from being a Poissonian.

Transiently changing shape of the photon number distribution in a quantum-dot--cavity system driven by chirped laser pulses