  Resonance fluorescence, consisting of light emission from an atom driven by a
classical oscillating field, is well-known to yield a sub-Poissonian photon
counting statistics. This occurs when only emitted light is detected, which
corresponds to a master equation (ME) unraveling in terms of the canonical jump
operator describing spontaneous decay. Formally, an alternative ME unraveling
is possible in terms of a shifted jump operator. We show that this shift can
result in sub-Poissonian, Poissonian or super-Poissonian quantum jump
statistics. This is shown in terms of the Mandel Q parameter in the limit of
long counting times, which is computed through large deviation theory. We
present a waveguide-QED setup, comprising a chiral waveguide coupled to a
driven atom, where photon counting is described by the considered class of
shifted jump operators.

Quantum Physics