Penning-trap eigenfrequency measurements with optical radiofrequency detectors
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arXiv
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| Format: | Preprint |
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2023
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| author | Berrocal, Joaquín Hernández, Alejandro Arrazola, Íñigo Domínguez, Francisco Carrasco-Sanz, Ana Fernández, Francisco Javier Block, Michael Rodríguez, Daniel |
| author_facet | Berrocal, Joaquín Hernández, Alejandro Arrazola, Íñigo Domínguez, Francisco Carrasco-Sanz, Ana Fernández, Francisco Javier Block, Michael Rodríguez, Daniel |
| contents | We use an electric-dipole laser-driven transition to precisely measure the cyclotron-frequency ratios of the pairs $^{42}$Ca$^+$-$^{40}$Ca$^+$, $^{44}$Ca$^+$-$^{40}$Ca$^+$ and $^{48}$Ca$^+$-$^{40}$Ca$^+$ in a 7-tesla Penning trap. A single laser-cooled ($T\approx 1$~mK) ion serves, together with photon-counting and/or photon-imaging units, as a radiofrequency detector covering a broad-band frequency spectrum, in the present case from kHz to a few MHz. Such detectors ($^{40,42,44,48}$Ca$^{\scriptsize{+}}$) allow measuring extremely small forces, with measured normalized sensitivities down to $7.4(3.5)$ yN$/\sqrt{\text{Hz}}$ and $24.9(9.9)$ yN$/\sqrt{\text{Hz}}$ in the MHz and kHz regime, respectively. The direct determination of the ions' amplitudes makes a cyclotron-frequency measurement process more robust against inhomogeneities of the magnetic field and/or deviations of the electric quadrupole field due to mechanical imperfections of the trap. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_14884 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Penning-trap eigenfrequency measurements with optical radiofrequency detectors Berrocal, Joaquín Hernández, Alejandro Arrazola, Íñigo Domínguez, Francisco Carrasco-Sanz, Ana Fernández, Francisco Javier Block, Michael Rodríguez, Daniel Atomic Physics Instrumentation and Detectors Quantum Physics We use an electric-dipole laser-driven transition to precisely measure the cyclotron-frequency ratios of the pairs $^{42}$Ca$^+$-$^{40}$Ca$^+$, $^{44}$Ca$^+$-$^{40}$Ca$^+$ and $^{48}$Ca$^+$-$^{40}$Ca$^+$ in a 7-tesla Penning trap. A single laser-cooled ($T\approx 1$~mK) ion serves, together with photon-counting and/or photon-imaging units, as a radiofrequency detector covering a broad-band frequency spectrum, in the present case from kHz to a few MHz. Such detectors ($^{40,42,44,48}$Ca$^{\scriptsize{+}}$) allow measuring extremely small forces, with measured normalized sensitivities down to $7.4(3.5)$ yN$/\sqrt{\text{Hz}}$ and $24.9(9.9)$ yN$/\sqrt{\text{Hz}}$ in the MHz and kHz regime, respectively. The direct determination of the ions' amplitudes makes a cyclotron-frequency measurement process more robust against inhomogeneities of the magnetic field and/or deviations of the electric quadrupole field due to mechanical imperfections of the trap. |
| title | Penning-trap eigenfrequency measurements with optical radiofrequency detectors |
| topic | Atomic Physics Instrumentation and Detectors Quantum Physics |
| url | https://arxiv.org/abs/2308.14884 |