Microscopy with a Deterministic Single Ion Source
Georg Jacob, Karin Groot-Berning, Sebastian Wolf, Stefan Ulm, and Luc Couturier, Samuel T. Dawkins, Ulrich G. Poschinger and, Ferdinand Schmidt-Kaler, Kilian Singer

TL;DR
This paper presents a novel microscopy technique using a deterministic single ion source for transmission imaging, achieving nanometer resolution and high signal-to-noise ratio, with applications demonstrated in precise position measurements.
Contribution
The work introduces a deterministic laser-cooled ion source for microscopy, enhancing resolution and signal quality over traditional methods, and employs Bayesian optimization for improved spatial information.
Findings
Achieved 5.8 nm focusing resolution.
Reduced dark counts by six orders of magnitude.
Determined hole position with 2.7 nm accuracy using 579 ions.
Abstract
We realize a single particle microscope by using deterministically extracted laser cooled Ca ions from a Paul trap as probe particles for transmission imaging. We demonstrate focusing of the ions with a resolution of 5.81.0nm and a minimum two-sample deviation of the beam position of 1.5nm in the focal plane. The deterministic source, even when used in combination with an imperfect detector, gives rise to much higher signal to noise ratios as compared with conventional Poissonian sources. Gating of the detector signal by the extraction event suppresses dark counts by 6 orders of magnitude. We implement a Bayes experimental design approach to microscopy in order to maximize the gain in spatial information. We demonstrate this method by determining the position of a 1m circular hole structure to an accuracy of 2.7nm using only 579 probe particles.
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