The origin of Franson-type nonlocal correlation
- URL: http://arxiv.org/abs/2112.10148v3
- Date: Wed, 1 Mar 2023 13:05:47 GMT
- Title: The origin of Franson-type nonlocal correlation
- Authors: B. S. Ham
- Abstract summary: Franson-type nonlocal correlation is for the second-order intensity measured between two fringes.
Nonlocal fringe shows a joint-phase relation of independent local parameters.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Franson-type nonlocal correlation is for the second-order intensity fringes
measured between two remotely separated photons via coincidence detection,
whereas their locally measured first-order intensities are uniform. This
nonlocal intensity-product fringe shows a joint-phase relation of independent
local parameters. Here, the Franson nonlocal correlation is investigated using
a coherence approach based on the wave nature of quantum mechanics to
understand the mysterious quantum feature of nonlocal fringes. For this, a
typical Franson scheme based on entangled photon pairs is coherently analyzed
for both local and nonlocal correlations, where the local intensities are due
to many-wave interference between measured photos. For the nonlocal fringe,
however, coincidence detection results in selective measurements, resulting in
second-order amplitude superposition between locally measured photon basis
products. Due to the intrinsic property of a fixed sum-phase relation between
entangled photons in each pair, the joint-phase relation of the nonlocal fringe
is immune to the random spectral detuning of photon pairs. As in the
first-order amplitude superposition of a single photon self-interference, the
second-order amplitude superposition between nonlocal basis-products is the
origin of the nonlocal fringe.
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