Penning-trap eigenfrequency measurements with optical radiofrequency
detectors
- URL: http://arxiv.org/abs/2308.14884v1
- Date: Mon, 28 Aug 2023 20:13:33 GMT
- Title: Penning-trap eigenfrequency measurements with optical radiofrequency
detectors
- Authors: Joaqu\'in Berrocal, Alejandro Hern\'andez, \'I\~nigo Arrazola,
Francisco Dom\'inguez, Ana Carrasco-Sanz, Francisco Javier Fern\'andez,
Michael Block and Daniel Rodr\'iguez
- Abstract summary: We measure the cyclotron-frequency ratios of the pairs $42$Ca$+$-40$Ca$+$ in a 7-tesla Penning trap.
A single laser-cooled ion serves as a radiofrequency detector covering a broad-band frequency spectrum from kHz to a few MHz.
- Score: 34.38328889640297
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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