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Annalen der Physik

(Ann. Phys. 9/2023)

Published Sep 1, 2023• 1 citation
Publisher

Abstract

Hermite–Gaussian modes In article number 2300204, Anton Peshkov, Andrey Surzhykov, and co-workers propose employing Hermite–Gaussian (HG) modes in photonic integrated circuits for precision spectroscopy of dipole-forbidden atomic-clock transitions. To assess the feasibility of this approach, theoretical analysis is presented for the interaction of a single trapped Yb+ ion with HG light. Calculations, performed for realistic experimental parameters, help to determine the optimal combinations of the incident light polarization and the orientation of the magnetic field demanded for successful realization of the proposed spectroscopy scheme.

DOI
10.1002/andp.202370017

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Hermite–Gaussian modes In article number 2300204, Anton Peshkov, Andrey Surzhykov, and co-workers propose employing Hermite–Gaussian (HG) modes in photonic integrated circuits for precision spectroscopy of dipole-forbidden atomic-clock transitions. To assess the feasibility of this approach, theoretical analysis is presented for the interaction of a single trapped Yb+ ion with HG light. Calculations, performed for realistic experimental parameters, help to determine the optimal combinations of the incident light polarization and the orientation of the magnetic field demanded for successful realization of the proposed spectroscopy scheme.
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 electric octupole (E3) transition is investigated in an Yb+ion, localized in the low–intensity center of the HG10and HG01beams. 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.
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 HG10 and HG01 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.
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 HG10 and HG01 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.