Revealing self-gravity in a Stern-Gerlach Humpty-Dumpty experiment
- URL: http://arxiv.org/abs/2006.07420v3
- Date: Tue, 7 Mar 2023 02:56:52 GMT
- Title: Revealing self-gravity in a Stern-Gerlach Humpty-Dumpty experiment
- Authors: Mohamed Hatifi and Thomas Durt
- Abstract summary: We propose an experimental test aimed at revealing the existence of a non-linear self-interaction a la Schrodinger-Newton (S-N)
It is shown that self-gravity induces a measurable phase shift between them, which paves the way to experimental tests.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: There is no consensus among today's physicists about how to describe the
gravitational interaction properly in a quantum framework. We propose in this
paper an experimental test aimed at revealing the existence of a non-linear
self-interaction \`a la Schrodinger-Newton (S-N). In this test, a mesoscopic
spin 1/2 microsphere is freely falling in a Humpty-Dumpty Stern-Gerlach
interferometer. After clarifying the role of the scaling of the interaction in
function of the amplitudes of the up and down spin components of the
microsphere, it is shown that self-gravity induces a measurable phase shift
between them, which paves the way to experimental tests. It is also shown that
if we consider two distinct microspheres falling in parallel, the entangling
power of the S-N interaction is exactly equal to zero.
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