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

摘要: We measured by laser spectroscopy the isotope shifts between naturally occurring even isotopes of strontium ions for both $5s\phantom{\rule{0.16em}{0ex}}{\phantom{\rule{0.16em}{0ex}}}^{2}{S}_{1/2}\ensuremath{\rightarrow}5p\phantom{\rule{0.16em}{0ex}}{\phantom{\rule{0.16em}{0ex}}}^{2}{P}_{1/2}$ (violet) and $4d\phantom{\rule{0.16em}{0ex}}{\phantom{\rule{0.16em}{0ex}}}^{2}{D}_{3/2}\ensuremath{\rightarrow}5p\phantom{\rule{0.16em}{0ex}}{\phantom{\rule{0.16em}{0ex}}}^{2}{P}_{1/2}$ (infrared) dipole-allowed optical transitions. Fluorescence spectra were taken simultaneous measurements on a two-component Coulomb crystal in linear Paul trap containing ${10}^{3}$--${10}^{4}$ laser-cooled ${\mathrm{Sr}}^{+}$ ions. The are extracted from experimental fitting data with analytical solution Bloch equations describing three-level atom interacting two beams. This technique allowed us to increase precision respect previously reported obtained optogalvanic or fast atomic-beam techniques. results transition ${\ensuremath{\nu}}_{88}\ensuremath{-}{\ensuremath{\nu}}_{84}=+378(4)$ MHz ${\ensuremath{\nu}}_{88}\ensuremath{-}{\ensuremath{\nu}}_{86}=+170(3)$ MHz, agreement measurements. In case unexplored we find ${\ensuremath{\nu}}_{88}\ensuremath{-}{\ensuremath{\nu}}_{84}=\ensuremath{-}828(4)$ ${\ensuremath{\nu}}_{88}\ensuremath{-}{\ensuremath{\nu}}_{86}=\ensuremath{-}402(2)$ MHz. These provide more stringent tests theoretical calculations alkali-metal-like atoms. Moreover, they simplify identification addressing ion frequency standards quantum-information-processing applications multi-isotope strings.