Monotonic quantum-to-classical transition enabled by positively correlated biphotons

Abstract

Multiparticle interference is a fundamental phenomenon in the study of quantum mechanics. It was discovered in a recent experiment [Ra, Y.-S. et al, Proc. Natl Acad. Sci. USA 110, 1227] that spectrally uncorrelated biphotons exhibited a nonmonotonic quantum-to-classical transition in a four-photon Hong-Ou-Mandel (HOM) interference. In this work, we consider the same scheme with spectrally correlated photons. By theoretical calculation and numerical simulation, we found the transition not only can be nonmonotonic with negative-correlated or uncorrelated biphotons, but also can be monotonic with positive-correlated biphotons. The fundamental reason for this difference is that the HOM-type multi-photon interference is a differential-frequency interference. Our study may shed new light on understanding the role of frequency entanglement in multi-photon behavior.

Quantum manipulation of biphoton spectral distributions in a 2D frequency space toward arbitrary shaping of a biphoton wave packet

“…Thanks to the GVM condition, the states s(ω 1 , ω 2 ) and s(ω 2 , ω 1 ) in Eq. ( 1) have round shapes in the TSI [24][25][26][27][28] . The two frequency modes were separated by 0.40 THz in Fig.…”

Engineering of Hong-Ou-Mandel interference with effective noise

“…The narrowest HOM dip is given by frequency-anticorrelated photons (K = −1), while the dip "fattens" as K approaches 1 and the frequencies become positively correlated [4,40]. This is due to HOM-type interference being differentialfrequency interference [39]. That is, the Gaussian (8) can be decomposed into the form |g…”

From contextuality of a single photon to realism of an electromagnetic wave

“…3 The quantum-to-classical transition in these phenomena has different origins. In the HOM setting it can be attributed to the strength of particle indistinguishability 4 whereas multi-photon Bell inequality violations are tied to the coherence strength between entangled photons or, in the limit of many particles, to the vanishing ability of revealing single particle properties with multi-photon measurements. 5 A single-photon interference scenario is much simpler to describe.…”