Photon Statistics Modal Reconstruction by Detected and Undetected Light

KNOLL, LAURA T.; GIULIA PETRINI; FABRIZIO PIACENTINI; PAOLO TRAINA; SERGEY V. POLYAKOV; EKATERINA MOREVA; DEGIOVANNI, IVO PIETRO; GENOVESE, MARCO

Advanced Quantum Technologies

John Wiley and Sons Inc

Año: 2023 vol. 6

We introduce a novel technique for the reconstruction of multimode optical fields, based on simultaneously exploiting both the generalized Glauber´s $K^{th}$-order correlation function $g^{(K)}$ and a recently proposed anti-correlation function (dubbed $heta^{(K)}$) which is resilient to Poissonian noise.We experimentally demonstrate that this method yields mode reconstructions with higher fidelity with respect to those obtained with reconstruction methods based only on $g^{(K)}$´s, even requiring less ``a priori´´ information.The reliability and versatility of our technique make it suitable for a widespread use in real applications of optical quantum measurement, from quantum information to quantum metrology, especially when one needs to characterize ensembles of single-photon emitters in the presence of background noise (due, for example, to residual excitation laser, stray light, or unwanted fluorescence).