# The 27th International Conference on Atomic Physics

17-22 July 2022
Royal Conservatory of Music, Toronto
America/Toronto timezone

## Higher-order effects of electric quadrupole fields on a single Rydberg ion

19 Jul 2022, 17:00
1h 30m
Hart House (Hart House)

### Hart House

#### Hart House

7 Hart House Cir, Toronto, ON M5S 3H3
Poster presentation Trapped ions, Rydberg atoms, and cold plasmas

### Description

Rydberg ions have large dipole and quadrupole polarizabilities which makes them extremely sensitive to external electric fields [1],[2]. As a result, an ion in the Rydberg state experiences altered trapping potential which leads to motion-dependent Rydberg excitation energies [3]. Higher the Rydberg state more is the sensitivity to the electric quadrupole trapping fields. The oscillating trapping field induces an energy shift in these states which oscillates at the trap drive frequency and generates sidebands in the spectrum. Unwanted couplings to these field-induced sidebands reduces the fidelity of Rydberg ion quantum gate operations. To mitigate this MW field are used which induces dressed states with opposite polarizabilities to create Rydberg state with vanishing polarizability which are insensitive to electric fields [4].

Here we study the higher order effects of the quadrupole electric filed on a single trapped Sr$^{+}$ Rydberg ion confined in a Paul trap, which arises due to the quadrupole polarizability of the Rydberg states. The effects were investigated on $nS_{\frac{1}{2}}$and $nP_{\frac{1}{2}}$ states and resonance shifts and spectral sidebands were observed experimentally. The Rydberg excitation energies depend quadratically on the trapping RF field amplitude. For the $nS_{\frac{1}{2}}$ state the first order spectral sidebands were much weaker whereas in the $nP_{\frac{1}{2}}$ state the spectrum showed a forest of sidebands. All results are in good agreement with theory [5].

References
[1] G. Higgins, A single trapped Rydberg ion. Phd. thesis, Stockholm University
and Innsbruck University, 2018.
[2] M. Muller, L. Liang, I. Lesanovsky, and P. Zoller, \Trapped Rydberg
ions: from spin chains to fast quantum gates," New Journal of Physics,
vol. 10, p. 093009, sep 2008.
[3] G. Higgins, F. Pokorny, C. Zhang, and M. Hennrich, \Highly Polarizable
Rydberg Ion in a Paul Trap," Physical Review Letters, vol. 123, 2019.
[4] F. Pokorny, C. Zhang, G. Higgins, and M. Hennrich, \Magic trapping
of a Rydberg ion with a diminished static polarizability," may 2020,
arXiv:2005.12422.
[5] G. Higgins, C. Zhang, F. Pokorny, H. Parke, E. Jansson, S. Salim,
and M. Hennrich, \Observation of second- and higher-order electric
quadrupole interactions with an atomic ion," Physical Review Research,
vol. 3, no. 3, pp. 1-6, 2021.

How will you attend ICAP-27? I am planning on in-person attendance Shalina Salim

### Primary authors

Shalina Salim (Stockholm University)

### Presentation Materials

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