Impact of micromotion and field-axis misalignment on the excitation of Rydberg states of ions in a Paul trap

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Autori principali: Martins, Wilson S., Wilkinson, Joseph W. P., Hennrich, Markus, Lesanovsky, Igor
Natura: Preprint
Pubblicazione: 2024
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author Martins, Wilson S.
Wilkinson, Joseph W. P.
Hennrich, Markus
Lesanovsky, Igor
author_facet Martins, Wilson S.
Wilkinson, Joseph W. P.
Hennrich, Markus
Lesanovsky, Igor
contents Trapped ions are among the most advanced platforms for quantum simulation and computation. Their capabilities can be further augmented by making use of electronically highly excited Rydberg states, which enable the realization of long-ranged electric dipolar interactions. Most experimental and theoretical studies so far focus on the excitation of ionic Rydberg states in linear Paul traps, which generate confinement by a combination of static and oscillating electric fields. These two fields need to be carefully aligned to minimize so-called micromotion, caused by the time-dependent electric field. The purpose of this work is to systematically understand the qualitative impact of micromotion on the Rydberg excitation spectrum, when the symmetry axes of the two electric fields do not coincide. Considering this scenario is not only important in the case of possible field misalignment, but becomes inevitable for Rydberg excitations in 2D and 3D ion crystals. We develop a minimal model describing a single trapped Rydberg ion, which we solve numerically via Floquet theory and analytically using a perturbative approach. We calculate the excitation spectra and analyze in which parameter regimes addressable and energetically isolated Rydberg lines persist, which are an important requirement for conducting coherent manipulations.
format Preprint
id arxiv_https___arxiv_org_abs_2410_24047
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Impact of micromotion and field-axis misalignment on the excitation of Rydberg states of ions in a Paul trap
Martins, Wilson S.
Wilkinson, Joseph W. P.
Hennrich, Markus
Lesanovsky, Igor
Atomic Physics
Quantum Physics
Trapped ions are among the most advanced platforms for quantum simulation and computation. Their capabilities can be further augmented by making use of electronically highly excited Rydberg states, which enable the realization of long-ranged electric dipolar interactions. Most experimental and theoretical studies so far focus on the excitation of ionic Rydberg states in linear Paul traps, which generate confinement by a combination of static and oscillating electric fields. These two fields need to be carefully aligned to minimize so-called micromotion, caused by the time-dependent electric field. The purpose of this work is to systematically understand the qualitative impact of micromotion on the Rydberg excitation spectrum, when the symmetry axes of the two electric fields do not coincide. Considering this scenario is not only important in the case of possible field misalignment, but becomes inevitable for Rydberg excitations in 2D and 3D ion crystals. We develop a minimal model describing a single trapped Rydberg ion, which we solve numerically via Floquet theory and analytically using a perturbative approach. We calculate the excitation spectra and analyze in which parameter regimes addressable and energetically isolated Rydberg lines persist, which are an important requirement for conducting coherent manipulations.
title Impact of micromotion and field-axis misalignment on the excitation of Rydberg states of ions in a Paul trap
topic Atomic Physics
Quantum Physics
url https://arxiv.org/abs/2410.24047