Self-gravitational dephasing of quasi-classical Stern-Gerlach trajectories

• URL: http://arxiv.org/abs/2311.18464v1
• Date: Thu, 30 Nov 2023 11:17:45 GMT
• Title: Self-gravitational dephasing of quasi-classical Stern-Gerlach trajectories
• Authors: Andr\'e Gro{\ss}ardt
• Abstract summary: The Schr"odinger-Newton equation predicts a gravitational self-force between the two trajectories corresponding to the two z-spin eigenvalues for a particle in a Stern-Gerlach interferometer. For the experimentally relevant case of a spherical particle with localized wave function, we present a re-derivation of that phase which is both rigorous in its approximations and concise, allowing for simple but accurate experimental predictions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The nonlinear Schr\"odinger-Newton equation, a prospective semiclassical alternative to a quantized theory of gravity, predicts a gravitational self-force between the two trajectories corresponding to the two z-spin eigenvalues for a particle in a Stern-Gerlach interferometer. To leading order, this force results in a relative phase between the trajectories. For the experimentally relevant case of a spherical particle with localized wave function, we present a re-derivation of that phase which is both rigorous in its approximations and concise, allowing for simple but accurate experimental predictions.

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