6533b870fe1ef96bd12cfd50

RESEARCH PRODUCT

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

Ferdinand Schmidt-kalerMartin DrechslerMartin DrechslerChristian Tomás SchmiegelowSebastian Wolf

subject

PhysicsGSD microscopyQuantum PhysicsWave packetCenter (category theory)General Physics and AstronomyFOS: Physical sciencesIonS-waveAtomic physicsGround stateSpectroscopyQuantum Physics (quant-ph)Beam (structure)Physics - OpticsOptics (physics.optics)

description

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.

https://dx.doi.org/10.48550/arxiv.2104.07095