# Trap-induced ac Zeeman shift of the thorium-229 nuclear clock frequency

Source: [Trap-induced ac Zeeman shift of the thorium-229 nuclear clock frequency](<https://www.sota2.com/research/paper/68fa43bb1e209131ce90c2ba>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T04:27:40.418Z

Authors: K. Beloy

Published: 2023-03-08T18:40:37.000Z

## Abstract

We examine the effect of a parasitic rf magnetic field, attributed to ion trapping, on the highly anticipated nuclear clock based on $^{229}$Th$^{3+}$ \[C. J. Campbell et al., Phys. Rev. Lett. 108, 120802 (2012)\]. The rf magnetic field induces an ac Zeeman shift to the clock frequency. As we demonstrate, this shift threatens to be the dominant systematic frequency shift for the clock, exceeding other systematic frequency shifts and the projected systematic uncertainty of the clock by orders of magnitude. We propose practical means to suppress or eliminate this shift.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2303.04789>)

[PDF](<https://arxiv.org/pdf/2303.04789.pdf>)