A single strontium Rydberg ion confined in a Paul trap
Gerard Higgins, Weibin Li, Fabian Pokorny, Chi Zhang, Florian Kress,, Christine Maier, Johannes Haag, Quentin Bodart, Igor Lesanovsky, and Markus, Hennrich

TL;DR
This paper investigates the effects of Paul trap fields on a single Rydberg ion, revealing Floquet sidebands and trap potential modifications due to Rydberg state polarizability, crucial for quantum information applications.
Contribution
It provides the first detailed analysis of trap effects on a single Rydberg ion, including Floquet sidebands and trap potential shifts, advancing understanding for quantum computing.
Findings
Floquet sidebands observed in Rydberg D-states
Trap potential is modified in Rydberg states due to polarizability
Line broadening from energy shifts can be reduced by cooling
Abstract
Trapped Rydberg ions are a promising new system for quantum information processing. They have the potential to join the precise quantum operations of trapped ions and the strong, long-range interactions between Rydberg atoms. Technically, the ion trap will need to stay active while exciting the ions into the Rydberg state, else the strong Coulomb repulsion will quickly push the ions apart. Thus, a thorough understanding of the trap effects on Rydberg ions is essential for future applications. Here we report the observation of two fundamental trap effects. First, we investigate the interaction of the Rydberg electron with the quadrupolar electric trapping field. This effect leads to Floquet sidebands in the spectroscopy of Rydberg D-states whereas Rydberg S-states are unaffected due to their symmetry. Second, we report on the modified trapping potential in the Rydberg state compared to…
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