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  • Letter
  • Open Access

Penning-trap eigenfrequency measurements with optical radiofrequency detectors

J. Berrocal1, A. Hernández1, I. Arrazola2, F. Domínguez1, A. Carrasco-Sanz3, F. J. Fernández4, M. Block5,6,7, and D. Rodríguez1,8,*

  • 1Departamento de Física Atómica, Molecular y Nuclear, Universidad de Granada, 18071 Granada, Spain
  • 2Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1040 Vienna, Austria
  • 3Departamento de Óptica, Universidad de Granada, 18071 Granada, Spain
  • 4Departamento de Arquitectura y Tecnología de Computadores, Universidad de Granada, 18071 Granada, Spain
  • 5Department Chemie - Standort TRIGA, Johannes Gutenberg-Universität Mainz, D-55099 Mainz, Germany
  • 6GSI Helmholtzzentrum für Schwerionenforschung GmbH, D-64291 Darmstadt, Germany
  • 7Helmholtz-Institut Mainz, D-55099 Mainz, Germany
  • 8Centro de Investigación en Tecnologías de la Información y las Comunicaciones, Universidad de Granada, 18071 Granada, Spain

  • *danielrodriguez@ugr.es
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Phys. Rev. Research 6, L012001 – Published 3 January, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L012001

Abstract

We use an electric-dipole laser-driven transition to precisely measure the cyclotron-frequency ratios of the pairs Ca+42−Ca+40, Ca+44−Ca+40, and Ca+48−Ca+40 in a 7-tesla Penning trap. A single laser-cooled (T≈1 mK) ion serves, together with photon-counting and photon-imaging units, as a radiofrequency detector covering a broadband frequency spectrum, in the present case from kHz to a few MHz. Such detectors (Ca+40,42,44,48) allow measuring extremely small forces increasing the sensitivity in Penning-trap mass spectrometry. 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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References (41)

  1. M. J. Biercuk, H. Uys, J. W. Britton, A. P. VanDevender, and J. J. Bollinger, Ultrasensitive detection of force and displacement using trapped ions, Nat. Nanotechnol. 5, 646 (2010).
  2. K. A. Gilmore, M. Affolter, R. J. Lewis-Swan, D. Barberena, E. Jordan, A. M. Rey, and J. J. Bollinger, Quantum-enhanced sensing of displacements and electric fields with two-dimensional trapped-ion crystals, Science 373, 673 (2021).
  3. E. G. Myers, High-precision atomic mass measurements for fundamental constants, Atoms 7, 37 (2019).
  4. S. Ulmer, C. Smorra, A. Mooser, K. Franke, H. Nagahama, G. Schneider, T. Higuchi, S. Van Gorp, K. Blaum, Y. Matsuda, W. Quint, J. Walz, and Y. Yamazaki, High-precision comparison of the antiproton-to-proton charge-to-mass ratio, Nature (London) 524, 196 (2015).
  5. E. G. Myers, CPT tests with the antihydrogen molecular ion, Phys. Rev. A 98, 010101(R) (2018).
  6. S. Rainville, J. K. Thompson, and D. E. Pritchard, An ion balance for ultra-high-precision atomic mass measurements, Science 303, 334 (2004).
  7. S. Rainville Jr, J. K. Thompson, E. G. Myers, J. M. Brown, M. S. Dewey, E. G. Kessler, R. D. Deslattes, H. G. Börner, M. Jentschel, P. Mutti, and D. E. Pritchard, A direct test of E=mc2, Nature (London) 438, 1096 (2005).
  8. E. G. Myers, A. Wagner, H. Kracke, and B. A. Wesson, Atomic masses of tritium and helium-3, Phys. Rev. Lett. 114, 013003 (2015).
  9. R. X. Schüssler, H. Bekker, M. Brass, H. Cakir, J. R. C. López-Urrutia, M. Door, P. Filianin, Z. Harman, M. W. Haverkort, W. J. Huang, P. Indelicato, C. H. Keitel, C. M. König, K. Kromer, M. Müller, Y. N. Novikov, A. Rischka, C. Schweiger, S. Sturm, S. Ulmer et al., Detection of metastable electronic states by Penning trap mass spectrometry, Nature (London) 581, 42 (2020).
  10. D. J. Wineland and H. G. Dehmelt, Principles of the stored ion calorimeter, J. Appl. Phys. 46, 919 (1975).
  11. L. S. Brown and G. Gabrielse, Geonium theory: Physics of a single electron or ion in a Penning trap, Rev. Mod. Phys. 58, 233 (1986).
  12. P. Filianin, C. Lyu, M. Door, K. Blaum, W. J. Huang, M. Haverkort, P. Indelicato, C. H. Keitel, K. Kromer, D. Lange, Y. N. Novikov, A. Rischka, R. X. Schüssler, C. Schweiger, S. Sturm, S. Ulmer, Z. Harman, and S. Eliseev, Direct Q-value determination of the β− decay of Re187, Phys. Rev. Lett. 127, 072502 (2021).
  13. R. M. Weisskoff, G. P. Lafyatis, K. R. Boyce, E. A. Cornell, R. W. Flanagan, and D. Pritchard, rf SQUID detector for single-ion trapping experiments, J. Appl. Phys. 63, 4599 (1988).
  14. S. Ulmer, H. Kracke, K. Blaum, S. Kreim, A. Mooser, W. Quint, C. C. Rodegheri, and J. Walz, The quality factor of a superconducting rf resonator in a magnetic field, Rev. Sci. Instrum. 80, 123302 (2009).
  15. E. A. Cornell, R. M. Weisskoff, K. R. Boyce, and D. E. Pritchard, Mode coupling in a Penning trap: π pulses and a classical avoided crossing, Phys. Rev. A 41, 312 (1990).
  16. D. J. Wineland, J. J. Bollinger, and W. M. Itano, Laser-fluorescence mass spectroscopy, Phys. Rev. Lett. 50, 628 (1983).
  17. H. M. Imajo, S. Urabe, K. Hayasaka, and M. Watanabe, Measurements of motional frequencies for laser-cooled ions in a penning trap, J. Mod. Opt. 39, 317 (1992).
  18. B. J. McMahon, C. Volin, W. G. Rellergert, and B. C. Sawyer, Doppler-cooled ions in a compact reconfigurable Penning trap, Phys. Rev. A 101, 013408 (2020).
  19. S. Nagy, T. Fritioff, A. Solders, R. Schuch, M. Björkhage, and I. Bergström, Precision mass measurements of Ca17+40 and Ca19+40 ions in a Penning trap, Eur. Phys. J. D 39, 1 (2006).
  20. F. Gebert, Y. Wan, F. Wolf, C. N. Angstmann, J. C. Berengut, and P. O. Schmidt, Precision isotope shift measurements in calcium ions using quantum logic detection schemes, Phys. Rev. Lett. 115, 053003 (2015).
  21. F. W. Knollmann, A. N. Patel, and S. C. Doret, Part-per-billion measurement of the 42S1/2→32D5/2 electric-quadrupole-transition isotope shifts between Ca+42,44,48 and Ca+40, Phys. Rev. A 100, 022514 (2019).
  22. C. Solaro, S. Meyer, K. Fisher, J. C. Berengut, E. Fuchs, and M. Drewsen, Improved isotope-shift-based bounds on bosons beyond the standard model through measurements of the D23/2 - D25/2 interval in Ca+, Phys. Rev. Lett. 125, 123003 (2020).
  23. M. J. Gutiérrez, J. Berrocal, F. Domínguez, I. Arrazola, M. Block, E. Solano, and D. Rodríguez, Dynamics of an unbalanced two-ion crystal in a Penning trap for application in optical mass spectrometry, Phys. Rev. A 100, 063415 (2019).
  24. J. Cerrillo and D. Rodríguez, Motional quantum metrology in a Penning trap, Europhys. Lett. 134, 38001 (2021).
  25. M. Block, D. Ackermann, K. Blaum, C. Droese, M. Dworschak, S. Eliseev, T. Fleckenstein, E. Haettner, F. Herfurth, F. P. Heßberger, S. Hofmann, J. Ketelaer, J. Ketter, H.-J. Kluge, G. Marx, M. Mazzocco, Y. N. Novikov, W. R. Plaß, A. Popeko, S. Rahaman et al., Direct mass measurements above uranium bridge the gap to the island of stability, Nature (London) 463, 785 (2010).
  26. E. M. Ramirez, D. Ackermann, K. Blaum, M. Block, C. Droese, Ch. E. Düllmann, M. Dworschak, M. Eibach, S. Eliseev, E. Haettner, F. Herfurth, F. P. Heßberger, S. Hofmann, J. Ketelaer, G. Marx, M. Mazzocco, D. Nesterenko, Yu. N. Novikov, W. R. Plaß, D. Rodríguez et al., Direct mapping of nuclear shell effects in the heaviest elements, Science 337, 1207 (2012).
  27. O. Kaleja, B. Andelić, O. Bezrodnova, K. Blaum, M. Block, S. Chenmarev, P. Chhetri, C. Droese, C. E. Düllmann, M. Eibach, S. Eliseev, J. Even, P. Filianin, F. Giacoppo, S. Götz, Y. Gusev, M. J. Gutiérrez, F. P. Hessberger, N. Kalantar-Nayestanaki, J. J. W. van de Laar et al., Direct high-precision mass spectrometry of superheavy elements with SHIPTRAP, Phys. Rev. C 106, 054325 (2022).
  28. M. J. Gutiérrez, J. Berrocal, J. M. Cornejo, F. Domínguez, J. J. Del Pozo, I. Arrazola, J. Bañuelos, P. Escobedo, O. Kaleja, L. Lamata, R. A. Rica, S. Schmidt, M. Block, E. Solano, and D. Rodríguez, The TRAPSENSOR facility: An open-ring 7 tesla Penning trap for laser-based precision experiments, New J. Phys. 21, 023023 (2019).
  29. J. Berrocal, E. Altozano, F. Domínguez, M. J. Gutiérrez, J. Cerrillo, F. J. Fernández, M. Block, C. Ospelkaus, and D. Rodríguez, Formation of two-ion crystals by injection from a Paul-trap source into a high-magnetic-field Penning trap, Phys. Rev. A 105, 052603 (2022).
  30. D. R. Crick, S. Donnellan, D. M. Segal, and R. C. Thompson, Magnetically induced electron shelving in a trapped Ca+ ion, Phys. Rev. A 81, 052503 (2010).
  31. H. F. Powell, D. M. Segal, and R. C. Thompson, Axialization of laser cooled magnesium ions in a penning trap, Phys. Rev. Lett. 89, 093003 (2002).
  32. SIMION® 8.0 Ion and Electron Optics Simulator https://simion.com/.
  33. M. Wang, W. Huang, F. Kondev, G. Audi, and S. Naimi, The AME 2020 atomic mass evaluation (II). Tables, graphs and references, Chin. Phys. C 45, 030003 (2021).
  34. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.6.L012001 for the measurements used to determine Rlit40,48, presented analogously as in Fig. 2; the eigenfrequency data used to obtain the ratios shown in Fig. 2; and a discussion about the electric-field noise and the magnetic-field stability based on a correlation analysis of the eigenfrequencies. It also contains Ref. [33].
  35. S. Bustabad, G. Bollen, M. Brodeur, D. L. Lincoln, S. J. Novario, M. Redshaw, R. Ringle, S. Schwarz, and A. A. Valverde, First direct determination of the Ca48 double-β decay Q value, Phys. Rev. C 88, 022501(R) (2013).
  36. A. A. Kwiatkowski, T. Brunner, J. D. Holt, A. Chaudhuri, U. Chowdhury, M. Eibach, J. Engel, A. T. Gallant, A. Grossheim, M. Horoi, A. Lennarz, T. D. Macdonald, M. R. Pearson, B. E. Schultz, M. C. Simon, R. A. Senkov, V. V. Simon, K. Zuber, and J. Dilling, New determination of double-β-decay properties in Ca48: High-precision Qββ-value measurement and improved nuclear matrix element calculations, Phys. Rev. C 89, 045502 (2014).
  37. F. Köhler, K. Blaum, M. Block, S. Chenmarev, S. Eliseev, D. A. Glazov, M. Goncharov, J. Hou, A. Kracke, D. A. Nesterenko, Y. N. Novikov, W. Quint, E. Minaya-Ramirez, V. M. Shabaev, S. Sturm, A. V. Volotka, and G. Werth, Isotope dependence of the Zeeman effect in lithium-like calcium, Nat. Commun. 7, 10246 (2016).
  38. J. Ketter, T. Eronen, M. Höcker, S. Streubel, and K. Blaum, First-order perturbative calculation of the frequency-shifts caused by static cylindrically-symmetric electric and magnetic imperfections of a Penning trap, Intl. J. Mass Spectrom. 358, 1 (2014).
  39. M. Redshaw, Precise measurements of the atomic masses of Si28, P31, S32, Kr84,86, Xe129,132,136, and the dipole moment of Ph+ using single-ion and two-ion penning trap techniques, Ph.D. thesis, Florida State University, 2007.
  40. R. Schüssler, First high-precision mass measurements at pentatrap on highly charged Xe and Re ions, Ph.D. thesis, University of Heidelberg, 2019.
  41. X. Fan, T. G. Myers, B. A. D. Sukra, and G. Gabrielse, Measurement of the electron magnetic moment, Phys. Rev. Lett. 130, 071801 (2023).

Outline

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Phys. Rev. Research 6, L012001– Published 3 January, 2024
  • Received 17 June 2023
  • Revised 8 October 2023
  • Accepted 29 November 2023
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