Related papers: Mass-energy equivalence in gravitationally bound quantum states of the neutron

Mass-energy equivalence in gravitationally bound quantum states of the neutron

URL: http://arxiv.org/abs/2206.08769v3
Date: Wed, 3 Aug 2022 16:09:36 GMT
Title: Mass-energy equivalence in gravitationally bound quantum states of the neutron
Authors: Germain Tobar, Simon Haine, Fabio Costa and Magdalena Zych
Abstract summary: We include the relativistic effects of mass-energy equivalence into the model of gravitationally bound neutrons. We show that the neutron's additional weight due to mass-energy equivalence will cause a small shift in the neutron's eigenenergies and eigenstates.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: Gravitationally bound neutrons have become an important tool in the experimental searches for new physics, such as modifications to Newton's force or candidates for dark matter particles. Here we include the relativistic effects of mass-energy equivalence into the model of gravitationally bound neutrons. Specifically, we investigate a correction in a gravitationally bound neutron's Hamiltonian due to the presence of an external magnetic field. We show that the neutron's additional weight due to mass-energy equivalence will cause a small shift in the neutron's eigenenergies and eigenstates, and examine how this relativistic correction would affect experiments with trapped neutrons. We further consider the ultimate precision in estimating the relativistic correction to the precession frequency and find that, at short times, a joint measurement of both the spin and motional degrees of freedom provides a metrological enhancement as compared to a measurement of the spin alone.

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