Self-gravitational dephasing of quasi-classical Stern-Gerlach trajectories
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866916565987885056 |
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| author | Großardt, André |
| author_facet | Großardt, André |
| contents | The nonlinear Schrödinger-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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_18464 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Self-gravitational dephasing of quasi-classical Stern-Gerlach trajectories Großardt, André General Relativity and Quantum Cosmology Quantum Physics The nonlinear Schrödinger-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. |
| title | Self-gravitational dephasing of quasi-classical Stern-Gerlach trajectories |
| topic | General Relativity and Quantum Cosmology Quantum Physics |
| url | https://arxiv.org/abs/2311.18464 |