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arXiv · 2311.18464

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

André Großardt
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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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André Großardt. 2023-11-30. Self-gravitational dephasing of quasi-classical Stern-Gerlach trajectories. https://doi.org/10.1103/physrevd.109.l021904

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