Excitation of Forbidden Electronic Transitions in Atoms by Hermite–Gaussian Modes

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Anton A. Peshkov
  • Elena Jordan
  • Markus Kromrey
  • Karan K. Mehta
  • Tanja E. Mehlstäubler
  • Andrey Surzhykov

External Research Organisations

  • Physikalisch-Technische Bundesanstalt PTB
  • Cornell University
  • Technische Universität Braunschweig
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Details

Original languageEnglish
Article number2300204
JournalAnnalen der Physik
Volume535
Issue number9
Publication statusPublished - 8 Sept 2023

Abstract

Photoexcitation of trapped ions by Hermite–Gaussian (HG) modes from guided beam structures is proposed and investigated theoretically. In particular, simple analytical expressions for the matrix elements of induced atomic transitions are derived that depend both on the parameters of HG beams and on the geometry of an experiment. By using these general expressions, the (Formula presented.) electric octupole (E3) transition is investigated in an Yb + ion, localized in the low–intensity center of the HG 10 and HG 01 beams. It is shown how the corresponding Rabi frequency can be enhanced by properly choosing the polarization of incident light and the orientation of an external magnetic field, which defines the quantization axis of a target ion. The calculations, performed for experimentally feasible beam parameters, indicate that the achieved Rabi frequencies can be comparable or even higher than those observed for the conventional Laguerre–Gaussian (LG) modes. Since HG-like modes can be relatively straightforwardly generated with high purity and stability from integrated photonics, these results suggest that they may form a novel tool for investigating highly-forbidden atomic transitions.

Keywords

    atomic clocks, dipole forbidden transitions, Hermite–Gaussian modes, Rabi oscillations

ASJC Scopus subject areas

Cite this

Excitation of Forbidden Electronic Transitions in Atoms by Hermite–Gaussian Modes. / Peshkov, Anton A.; Jordan, Elena; Kromrey, Markus et al.
In: Annalen der Physik, Vol. 535, No. 9, 2300204, 08.09.2023.

Research output: Contribution to journalArticleResearchpeer review

Peshkov, AA, Jordan, E, Kromrey, M, Mehta, KK, Mehlstäubler, TE & Surzhykov, A 2023, 'Excitation of Forbidden Electronic Transitions in Atoms by Hermite–Gaussian Modes', Annalen der Physik, vol. 535, no. 9, 2300204. https://doi.org/10.1002/andp.202300204
Peshkov, A. A., Jordan, E., Kromrey, M., Mehta, K. K., Mehlstäubler, T. E., & Surzhykov, A. (2023). Excitation of Forbidden Electronic Transitions in Atoms by Hermite–Gaussian Modes. Annalen der Physik, 535(9), Article 2300204. https://doi.org/10.1002/andp.202300204
Peshkov AA, Jordan E, Kromrey M, Mehta KK, Mehlstäubler TE, Surzhykov A. Excitation of Forbidden Electronic Transitions in Atoms by Hermite–Gaussian Modes. Annalen der Physik. 2023 Sept 8;535(9):2300204. doi: 10.1002/andp.202300204
Peshkov, Anton A. ; Jordan, Elena ; Kromrey, Markus et al. / Excitation of Forbidden Electronic Transitions in Atoms by Hermite–Gaussian Modes. In: Annalen der Physik. 2023 ; Vol. 535, No. 9.
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abstract = "Photoexcitation of trapped ions by Hermite–Gaussian (HG) modes from guided beam structures is proposed and investigated theoretically. In particular, simple analytical expressions for the matrix elements of induced atomic transitions are derived that depend both on the parameters of HG beams and on the geometry of an experiment. By using these general expressions, the (Formula presented.) electric octupole (E3) transition is investigated in an Yb + ion, localized in the low–intensity center of the HG 10 and HG 01 beams. It is shown how the corresponding Rabi frequency can be enhanced by properly choosing the polarization of incident light and the orientation of an external magnetic field, which defines the quantization axis of a target ion. The calculations, performed for experimentally feasible beam parameters, indicate that the achieved Rabi frequencies can be comparable or even higher than those observed for the conventional Laguerre–Gaussian (LG) modes. Since HG-like modes can be relatively straightforwardly generated with high purity and stability from integrated photonics, these results suggest that they may form a novel tool for investigating highly-forbidden atomic transitions.",
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AU - Mehlstäubler, Tanja E.

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