TY - JOUR

T1 - Excitation of Forbidden Electronic Transitions in Atoms by Hermite–Gaussian Modes

AU - Peshkov, Anton A.

AU - Jordan, Elena

AU - Kromrey, Markus

AU - Mehta, Karan K.

AU - Mehlstäubler, Tanja E.

AU - Surzhykov, Andrey

N1 - Funding Information: This work was funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation)—Project‐ID 445408588 (SU 658/5‐1) and under Germany's Excellence Strategy—EXC‐2123 QuantumFrontiers—390837967. This work was also supported by the Max‐Planck‐RIKEN‐PTB Center for Time, Constants and Fundamental Symmetries. The authors thank C.‐F. Grimpe for the discussion about integrated optics.

PY - 2023/9/8

Y1 - 2023/9/8

N2 - 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.

AB - 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.

KW - atomic clocks

KW - dipole forbidden transitions

KW - Hermite–Gaussian modes

KW - Rabi oscillations

UR - http://www.scopus.com/inward/record.url?scp=85164508628&partnerID=8YFLogxK

U2 - 10.1002/andp.202300204

DO - 10.1002/andp.202300204

M3 - Article

VL - 535

JO - Annalen der Physik

JF - Annalen der Physik

SN - 1521-3889

IS - 9

M1 - 2300204

ER -