### Abstract

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.

Original language | English |
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Pages (from-to) | 104004- |

Number of pages | 11 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2019 |

Publication status | Published - 2019 |

### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty

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## Cite this

Cilluffo, D., Palma, G. M., Ciccarello, F., Lorenzo, S., Ciccarello, F., Massimo Palma, & Massimo Palma (2019). Quantum jump statistics with a shifted jump operator in a chiral waveguide.

*Journal of Statistical Mechanics: Theory and Experiment*,*2019*, 104004-.