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Multi-ion frequency reference using dynamical decoupling

We present the experimental realization of a continuous dynamical decoupling scheme which suppresses leading frequency shifts in a multi-ion frequency reference based on \(^{40}\mathrm{Ca}^+\). By near-resonant magnetic coupling of the \(^2\mathrm{S}_{1/2}\) and \(^2\mathrm{D}_{5/2}\) Zeeman sub-lev...

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Bibliographic Details
Published in:arXiv.org 2023-11
Main Authors: Pelzer, Lennart, Dietze, Kai, Martínez-Lahuerta, Víctor J, Krinner, Ludwig, Kramer, Johannes, Dawel, Fabian, Spethmann, Nicolas C H, Hammerer, Klemens, Schmidt, Piet O
Format: Article
Language:English
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Summary:We present the experimental realization of a continuous dynamical decoupling scheme which suppresses leading frequency shifts in a multi-ion frequency reference based on \(^{40}\mathrm{Ca}^+\). By near-resonant magnetic coupling of the \(^2\mathrm{S}_{1/2}\) and \(^2\mathrm{D}_{5/2}\) Zeeman sub-levels using radio-frequency dressing fields, engineered transitions with reduced sensitivity to magnetic-field fluctuations are obtained. A second stage detuned dressing field reduces the influence of amplitude noise in the first stage driving fields and decreases 2\textsuperscript{nd}-rank tensor shifts, such as the electric quadrupole shift. Suppression of the quadratic dependence of the quadrupole shift to \(3(2)\,\text{mHz}/\mu m^2\) and coherence times of \(290(20)\,\text{ms}\) on the optical transition are demonstrated even within a laboratory environment with significant magnetic field noise. Besides removing inhomogeneous line shifts in multi-ion clocks, the demonstrated dynamical decoupling technique may find applications in quantum computing and simulation with trapped ions by a tailored design of decoherence-free subspaces.
ISSN:2331-8422