Isotope shifts of natural Sr+ measured by laser fluorescence in a sympathetically cooled Coulomb crystal

TL;DR

This paper reports precise measurements of isotope shifts in strontium ions using laser fluorescence in a Coulomb crystal, improving accuracy over previous methods and providing data useful for atomic theory and quantum applications.

Contribution

The study introduces a high-precision laser spectroscopy technique on Coulomb crystals to measure isotope shifts in Sr+ ions, including previously unexplored transitions.

Findings

Measured isotope shifts for two Sr+ transitions with improved precision.

Confirmed previous measurements for the known transition.

Provided new data for an unexplored transition, aiding theoretical models.

Abstract

We measured by laser spectroscopy the isotope shifts between naturally-occurring even-isotopes of strontium ions for both the $5s\,\,^2S_{1/2}\to 5p\,\,^2P_{1/2}$ (violet) and the $4d\,\,^2D_{3/2}\to 5p\,\,^2P_{1/2}$ (infrared) dipole-allowed optical transitions. Fluorescence spectra were taken by simultaneous measurements on a two-component Coulomb crystal in a linear Paul trap containing $10^3$--$10^4$ laser-cooled Sr$^+$ ions. The isotope shifts are extracted from the experimental spectra by fitting the data with the analytical solution of the optical Bloch equations describing a three-level atom in interaction with two laser beams. This technique allowed us to increase the precision with respect to previously reported data obtained by optogalvanic spectroscopy or fast atomic-beam techniques. The results for the $5s\,\,^2S_{1/2}\to 5p\,\,^2P_{1/2}$ transition are $\nu_{88}-\nu_{84}=+378(4)$ MHz and $\nu_{88}-\nu_{86}=+170(3)$ MHz, in agreement with previously reported measurements. In the case of the previously unexplored $4d\,\,^2D_{3/2}\to 5p\,\,^2P_{1/2}$ transition we find $\nu_{88}-\nu_{84}=-828(4)$ MHz and $\nu_{88}-\nu_{86}=-402(2)$ MHz. These results provide more data for stringent tests of theoretical calculations of the isotope shifts of alkali-metal-like atoms. Moreover, they simplify the identification and the addressing of Sr$^+$ isotopes for ion frequency standards or quantum-information-processing applications in the case of multi-isotope ion strings.