Related papers: Quantum Calculations of the Cavity Shift in Electron Magnetic Moment Measurements

Quantum Calculations of the Cavity Shift in Electron Magnetic Moment Measurements

URL: http://arxiv.org/abs/2511.07514v1
Date: Wed, 12 Nov 2025 01:02:06 GMT
Title: Quantum Calculations of the Cavity Shift in Electron Magnetic Moment Measurements
Authors: Hannah Day, Roni Harnik, Yonatan Kahn, Shashin Pavaskar, Kevin Zhou,
Abstract summary: We show the first fully quantum calculation of the cavity shift in a closed cavity.<n>We find perfect agreement with classical results for both spherical and cylindrical cavities.<n>Our results can be naturally generalized to account for systematic effects.
Score: 0.5731460697030448
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The measurement of the anomalous electron magnetic moment $g-2$ through quantum transitions of a single trapped electron is the most stringent test of quantum field theory. These experiments are now so precise that they must account for the effects of the cavity containing the electron. Classical calculations of this "cavity shift" must subtract the electron's divergent self-field, and thus require knowledge of the exact Green's function for the cavity's electromagnetic field. We perform the first fully quantum calculation of the cavity shift in a closed cavity, which instead involves subtracting linearly divergent cavity mode sums and integrals. Using contour integration methods, we find perfect agreement with existing classical results for both spherical and cylindrical cavities, justifying their current use. Moreover, our mode-based results can be naturally generalized to account for systematic effects, necessary to push future measurements to the next order of magnitude in precision.

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