Self-gravitational dephasing of quasi-classical Stern-Gerlach trajectories
arXiv:2311.18464 · doi:10.1103/PhysRevD.109.L021904
Abstract
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.
References in corpus (13)
- A Spin Entanglement Witness for Quantum Gravity
- Gravitationally-induced entanglement between two massive particles is sufficient evidence of quantum effects in gravity
- Gravitation and quantummechanical localization of macroobjects
- Is Quantum Gravity Necessary?
- The Schrödinger-Newton equation and its foundations
- A classical channel model for gravitational decoherence
- Macroscopic Quantum Mechanics in a Classical Spacetime
- Gravitationally induced inhibitions of dispersion according to the Schrödinger-Newton Equation
- Optomechanical test of the Schrödinger-Newton equation
- On inference of quantization from gravitationally induced entanglement
- Experimental localisation of quantum entanglement through monitored classical mediator
- Three little paradoxes: making sense of semiclassical gravity
- Effects of Newtonian gravitational self-interaction in harmonically trapped quantum systems