Feasibility analysis of a proposed test of quantum gravity via novel optical magnetometry in xenon

• URL: http://arxiv.org/abs/2402.17057v1
• Date: Mon, 26 Feb 2024 22:37:03 GMT
• Title: Feasibility analysis of a proposed test of quantum gravity via novel optical magnetometry in xenon
• Authors: James Maldaner, Mitja Fridman, Saurya Das, Gil Porat
• Abstract summary: We present an analysis of the sensitivity limits of a proposed experimental search for quantum gravity. We use an approach based on optical magnetometry in the noble gas isotope $129$Xe. We show that the existing bounds on the leading-order quantum gravity correction can be improved by $107$ with existing technology.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present an analysis of the sensitivity limits of a proposed experimental search for quantum gravity, using a novel approach based on optical magnetometry in the noble gas isotope $^{129}$Xe. The analysis relies on a general uncertainty principle model that is consistent with most formulations of quantum gravity theory, where the canonical uncertainty relations are modified by a leading-order correction term that is linear in momentum. In turn, this correction modifies the magnetic moment of the spin-polarized $^{129}$Xe atoms that are immersed in a magnetic field in the proposed experiment, which results in a velocity-dependent variation of their Larmour frequency, that is detected via two-photon laser spectroscopy. The thermal distribution of atomic velocities, in conjunction with the Doppler effect, is used to scan the interrogating laser over different atomic velocities, and search for a corresponding variation in their Larmor frequencies. We show that the existing bounds on the leading-order quantum gravity correction can be improved by $10^{7}$ with existing technology, where another factor of $10^{2}$ is possible with near-future technical capabilities.

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