Gravitational quantum optical interferometry for experimental validation
of geometric phase induced by spacetime curvature
- URL: http://arxiv.org/abs/2309.12066v1
- Date: Thu, 21 Sep 2023 13:36:23 GMT
- Title: Gravitational quantum optical interferometry for experimental validation
of geometric phase induced by spacetime curvature
- Authors: Hansol Noh, Paul M. Alsing, Warner A. Miller, and Doyeol Ahn
- Abstract summary: Wigner rotation angle (WRA) of a photon induced by gravity is a promising candidate for direct observation near Earth.
We show that the momentum-dependent WRA displays a non-reciprocal characteristic.
We propose an experiment that can be used to test the theoretical framework of the WRA induced in curved spacetime.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The fundamental theories of general relativity and quantum mechanics are
incompatible, presenting a significant theoretical challenge. General
relativity offers an effective description of gravity and large-scale dynamics,
while quantum mechanics describes phenomena for atomic- to Planck-scale. The
Wigner rotation angle (WRA) of a photon induced by gravity, where relativistic
effects become observable in its quantum spin state, is a significant point of
interest as a promising candidate for direct observation near Earth by
considering its small but measurable order. In this paper, we reveal that the
momentum-dependent WRA displays a non-reciprocal characteristic. This distinct
behavior leads to a measurable relative WRA difference between two paths of an
interferometer within the Earth's gravitational field, while the WRA of a
photon has conventionally been viewed as having a trivial value on a closed
loop. Building on this finding, we propose an experiment that can be used to
test the theoretical framework of the WRA induced in curved spacetime through
the use of the Hong-Ou-Mandel (HOM) quantum interference effect for photons in
near-Earth orbits. We show that in our proposed experiment the coincident
photon counting rate depends on the difference of the momentum-dependent WRA in
the two arms of an interferometer.
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