Optical super-resolution sensing of a trapped ion's wave packet size

Abstract

We demonstrate super-resolution optical sensing of the size of the wave packet of a single trapped ion. Our method extends the well known ground state depletion (GSD) technique to the coherent regime. Here, we use a hollow beam to strongly saturate a coherently driven dipole-forbidden transition around a sub-diffraction limited area at its center and observe state dependent fluorescence. By spatially scanning this laser beam over a single trapped ${}^{40}{\mathrm{Ca}}^{+}$ ion, we are able to measure the wave packet sizes of cooled ions. Using a depletion beam waist of $4.2(1)\mu$m we reach a spatial resolution which allows us to determine a wave packet size of $39(9)$nm for a near ground state cooled ion. This value matches an independently deduced value of $32(2)$nm, calculated from resolved sideband spectroscopy measurements. Finally, we discuss the ultimate resolution limits of our adapted GSD imaging technique in view of applications to direct quantum wave packet imaging.

arXiv comment5 pages, 3 figures plus supplemental material

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