Temporal Coherence and Indistinguishability in Two-Photon Interference Effects
Anand Kumar Jha, Malcolm N. O'Sullivan, Kam Wai Clifford Chan, and, Robert W. Boyd

TL;DR
This paper introduces a comprehensive framework for understanding two-photon interference effects through biphoton path-length parameters, supported by experiments demonstrating independent control of these effects and observations of HOM-like phenomena.
Contribution
It presents a novel characterization of two-photon interference using biphoton path-length differences and reports experimental control and observation of HOM-like effects without beam splitter mixing.
Findings
Interference effects can be fully described by biphoton path-length parameters.
Experimental control of these parameters independently influences interference outcomes.
HOM-like effects observed in both coincidence and single-photon counts.
Abstract
We show that temporal two-photon interference effects involving the signal and idler photons created by parametric down-conversion can be fully characterized in terms of the variations of two length parameters--called the biphoton path-length difference and the biphoton path-asymmetry- length difference--which we construct using the six different length parameters that a general two-photon interference experiment involves. We perform an experiment in which the effects of the variations of these two parameters can be independently controlled and studied. In our experimental setup, which does not involve mixing of signal and idler photons at a beam splitter, we further report observations of Hong-Ou-Mandel- (HOM-)like effects both in coincidence and in one-photon count rates. As an important consequence, we argue that the HOM and the HOM-like effects are best described as observations of…
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