A simple method for characterization of the magnetic field in an ion trap using Be+ ions

Shen, Jie; Borodin, A. M.; Schiller, S.

doi:10.1140/epjd/e2014-50360-7

Cited by 4 publications

(2 citation statements)

References 14 publications

(23 reference statements)

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“…The magnetic field is B = 0.40(6) G, measured with an anisotropic magnetoresistive probe and by radio-frequency spectroscopy of the Be + ions using the method of ref. [26].…”

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confidence: 99%

Rotational spectroscopy of cold and trapped molecular ions in the Lamb–Dicke regime

et al. 2018

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Sympathetic cooling of trapped ions has been established as a powerful technique for manipulation of non-laser-coolable ions [1][2][3][4]. For molecular ions, it promises vastly enhanced spectroscopic resolution and accuracy. However, this potential remains untapped so far, with the best resolution achieved being not better than 5 × 10 −8 fractionally, due to residual Doppler broadening being present in ion clusters even at the lowest achievable translational temperatures [5]. Here we introduce a general and accessible approach that enables Doppler-free rotational spectroscopy. It makes use of the strong radial spatial confinement of molecular ions when trapped and crystallized in a linear quadrupole trap, providing the Lamb-Dicke regime for rotational transitions. We achieve a line width of 1 × 10 −9 fractionally and 1.3 kHz absolute, an improvement by 50 and nearly 3 × 10 3 , respectively, over other methods. The systematic uncertainty is 2.5 × 10 −10 . As an application, we demonstrate the most precise test of ab initio molecular theory and the most precise (1.3 ppb) spectroscopic determination of the proton mass. The results represent the long overdue extension of Doppler-free microwave spectroscopy of laser-cooled atomic ion clusters [6] to higher spectroscopy frequencies and to molecules. This approach enables a vast range of high-precision measurements on molecules, both on rotational and, as we project, vibrational transitions. arXiv:1802.03208v1 [quant-ph] 9 Feb 2018 pair were split and resolved, the Zeeman shift uncertainty should be reduced at least 10-fold.This would then allow a total systematic uncertainty of < 3 × 10 −11 . ACKNOWLEDGMENTS This work has been partially funded by DFG project Schi 431/21-1. We thank U. Rosowski for important assistance with the frequency comb, A. Nevsky for assistance with a laser system, E. Wiens for characterizing H-maser instability, R. Gusek and P. Dutkiewicz for electronics development, J. Scheuer and M. Melzer for assistance, and S. Schlemmer (Universität zu Köln) for equipment loans. We thank K. Brown (Georgia Institute of Technology) for useful discussions and suggestions. Corresponding author, step.schiller@hhu.de Contributions S.A. and M.G.H. developed the apparatus and performed the experiments, S.A., M.G.H., and S.S. analyzed the data, S.A., S.S. and V.I.K. performed theoretical calculations, S.S.conceived the study, supervised the work and wrote the paper.

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“…The magnetic field is B = 0.40(6) G, measured with an anisotropic magnetoresistive probe and by radio-frequency spectroscopy of the Be + ions using the method of ref. [26].…”

mentioning

confidence: 99%

Rotational spectroscopy of cold and trapped molecular ions in the Lamb–Dicke regime

et al. 2018

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“…Neutral atoms suffer from localization issues, but ions could be localized as easily as electrons. For example, very accurate magnetometry measurements 51,52 have been made with Be + , and such ions would also be useful for sympathetic cooling of positrons. 53,54 Once control of the Be + ions was established, the major obstacle to spectroscopy-based magnetometry would be achieving a sufficient signal-to-noise ratio; the solid angle available to collect the emitted photons is very small: approximately 10 −5 sr for the ALPHA experiments.…”

Section: Appendix E: Alternative Techniquesmentioning

confidence: 99%

Electron cyclotron resonance (ECR) magnetometry with a plasma reservoir

et al. 2020

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The local magnetic field in a Penning-Malmberg trap is found by measuring the temperatures that result when electron plasmas are illuminated by microwave pulses. Multiple heating resonances are observed as the pulse frequencies are swept. The many resonances are due to electron bounce and plasma rotation sidebands. The heating peak corresponding to the cyclotron frequency resonance is identified to determine the magnetic field. A new method for quickly preparing low density electron plasmas for destructive temperature measurements enables a rapid and automated scan of microwave frequencies. This technique can determine the magnetic field to high precision, obtaining an absolute accuracy better than 1 ppm, and a relative precision of 26 ppb. One important application is in situ magnetometry for antihydrogen-based tests of charge-parity-time symmetry and of the weak equivalence principle.

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Laser spectroscopy of a rovibrational transition in the molecular hydrogen ion $${\mathbf{H}}_{\mathbf{2}}^{\mathbf{+}}$$

Schenkel,

Alighanbari,

Schiller

2024

Nat. Phys.

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A simple method for characterization of the magnetic field in an ion trap using Be+ ions

Cited by 4 publications

References 14 publications

Rotational spectroscopy of cold and trapped molecular ions in the Lamb–Dicke regime

Rotational spectroscopy of cold and trapped molecular ions in the Lamb–Dicke regime

Electron cyclotron resonance (ECR) magnetometry with a plasma reservoir

Laser spectroscopy of a rovibrational transition in the molecular hydrogen ion $${\mathbf{H}}_{\mathbf{2}}^{\mathbf{+}}$$

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