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Cyclotron-Frequency Stability via Single-Ion Fluorescence in a Penning Trap with a Cryogen-Free Superconducting Magnet

Abstract

In this work, we investigate the magnetic-field stability of a Penning trap operated with a cryogen-free superconducting magnet through cyclotron-frequency measurements of a single laser-cooled calcium ion using two complementary photon-based detection techniques: a pulsed optical method for determining the three ion eigenfrequencies and Fluorescence-Detected Fourier-Transform Ion-Cyclotron-Resonance (FD-FT-ICR). For the former technique, the data-analysis procedure was revisited, considering it as the dominant contribution to the measurement uncertainty and yielding a long-term magnetic-field drift (1/B)(dB/dt) = −3.07(32)×10−9 h−1. This value is comparable to those reported for high-precision Penning-trap experiments employing liquid-helium-based superconducting magnets. The short-term stability was investigated using the FD-FT-ICR technique, resulting in a minimum relative magnetic-field variation of δB/B ≃ 5×10−8 for averaging times between 30 and 60 s. Furthermore, this technique enables direct cyclotron-frequency determinations on timescales as short as a few seconds, providing access to magnetic-field fluctuations that are generally not resolved in conventional Penning-trap experiments.

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BibTeX
@misc{schupeta2026cyclotronfrequency,
  title = {{Cyclotron-Frequency Stability via Single-Ion Fluorescence in a Penning Trap with a Cryogen-Free Superconducting Magnet}},
  author = {Anna Schupeta and David Yousaf and Manuel Almagro and Manuel Hurtado and José M. Palomino and Joaquín Berrocal and Michael Block and Christoph E. Düllmann and Daniel Rodríguez},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16713},
  eprint = {2609.16713},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16713},
}
RIS
TY  - UNPB
TI  - Cyclotron-Frequency Stability via Single-Ion Fluorescence in a Penning Trap with a Cryogen-Free Superconducting Magnet
AU  - Anna Schupeta
AU  - David Yousaf
AU  - Manuel Almagro
AU  - Manuel Hurtado
AU  - José M. Palomino
AU  - Joaquín Berrocal
AU  - Michael Block
AU  - Christoph E. Düllmann
AU  - Daniel Rodríguez
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.16713
UR  - https://arxiv.org/abs/2609.16713
AB  - In this work, we investigate the magnetic-field stability of a Penning trap operated with a cryogen-free superconducting magnet through cyclotron-frequency measurements of a single laser-cooled calcium ion using two complementary photon-based detection techniques: a pulsed optical method for determining the three ion eigenfrequencies and Fluorescence-Detected Fourier-Transform Ion-Cyclotron-Resonance (FD-FT-ICR). For the former technique, the data-analysis procedure was revisited, considering it as the dominant contribution to the measurement uncertainty and yielding a long-term magnetic-field drift (1/B)(dB/dt) = −3.07(32)×10^−9 h^−1. This value is comparable to those reported for high-precision Penning-trap experiments employing liquid-helium-based superconducting magnets. The short-term stability was investigated using the FD-FT-ICR technique, resulting in a minimum relative magnetic-field variation of δB/B ≃ 5×10^−8 for averaging times between 30 and 60 s. Furthermore, this technique enables direct cyclotron-frequency determinations on timescales as short as a few seconds, providing access to magnetic-field fluctuations that are generally not resolved in conventional Penning-trap experiments.
ER  -