Indirect measurement of three-photon correlation in nonclassical light sources
Byoung-Moo Ann, Younghoon Song, Junki Kim, Daeho Yang, and Kyungwon An

TL;DR
This paper introduces an indirect method to measure three-photon correlations in nonclassical light sources using detector dead time effects, validated through cavity-QED microlaser experiments, offering a more efficient measurement approach.
Contribution
The authors developed a general theory for extracting three-photon correlations from two-photon measurements with finite dead time detectors, reducing the number of detectors needed.
Findings
The measurement scheme accurately detects three-photon correlations.
Experimental results agree with theoretical predictions.
The method reduces measurement time compared to traditional schemes.
Abstract
We have observed the three-photon correlation in nonclassical light sources by using an indirect measurement scheme based on the dead time effect of photon-counting detectors. We first developed a general theory which enables us to extract the three-photon correlation from the two-photon correlation of an arbitrary light source measured with detectors with finite dead times. We then confirmed the validity of our measurement scheme in experiments done with the cavity-QED microlaser operating with a large intra-cavity mean photon number exhibiting both sub- and super-poissoniaq photon statistics. The experimental results were in a good agreement with the theoretical expectation. Our measurement scheme provides an alternative approach for N-photon correlation measurement employing (N-1) detectors and thus a reduced measurement time for a given signal-to-noise ratio, compared to the usual…
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