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Sub-dekahertz spectroscopy of 199Hg+

Jonas Bergquist, Robert J. Rafac, Brent C. Young, James A. Beall, Wayne M. Itano, David J. Wineland

Published Sep 21, 2001• 1 citation
OpenAlex

Abstract

Using a laser that is frequency-locked to a Fabry-Perot etalon of high finesse and stability, we probed the 5d106s 2S1/2(F equals O, mF equals O) $ARLR 5d96s22D5/2 (F equals 2, mF equals O) electric-quadrupole transition of a single laser-cooled 199Hg+ ion stored in a cryogenic radio-frequency ion trap. We observed Fourier-transform limited linewidths as narrow as 6.7 Hz at 282 nm (1.06 X 1015 Hz). The functional form and estimated values of some of the frequency shifts of the 2S1/2 $ARLR 2D5/2 clock transition (including the quadrupole shift), which have been calculated using a combination of measured atomic parameters and ab initio calculations, are given.© (2001) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

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Sub-dekahertz spectroscopy of199Hg+

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Using a laser that is frequency-locked to a Fabry-Perot etalon of high finesse and stability, we probed the 5d106s 2S1/2(F equals O, mF equals O) $ARLR 5d96s22D5/2 (F equals 2, mF equals O) electric-quadrupole transition of a single laser-cooled 199Hg+ ion stored in a cryogenic radio-frequency ion trap. We observed Fourier-transform limited linewidths as narrow as 6.7 Hz at 282 nm (1.06 X 1015 Hz). The functional form and estimated values of some of the frequency shifts of the 2S1/2 $ARLR 2D5/2 clock transition (including the quadrupole shift), which have been calculated using a combination of measured atomic parameters and ab initio calculations, are given.© (2001) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.

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Conference on Precision Electromagnetic Measurements•Jun 1, 2008•5 citations
Using a laser that is frequency-locked to a Fabry-Perot etalon of high finesse and stability, we probed the 5d106s 2S1/2(F equals O, mF equals O) ARLR5d96s22D5/2(Fequals2,mFequalsO)electric−quadrupoletransitionofasinglelaser−cooled199Hg+ionstoredinacryogenicradio−frequencyiontrap.WeobservedFourier−transformlimitedlinewidthsasnarrowas6.7Hzat282nm(1.06X1015Hz).Thefunctionalformandestimatedvaluesofsomeofthefrequencyshiftsofthe2S1/2ARLR 5d96s22D5/2 (F equals 2, mF equals O) electric-quadrupole transition of a single laser-cooled 199Hg+ ion stored in a cryogenic radio-frequency ion trap. We observed Fourier-transform limited linewidths as narrow as 6.7 Hz at 282 nm (1.06 X 1015 Hz). The functional form and estimated values of some of the frequency shifts of the 2S1/2 ARLR5d96s22D5/2(Fequals2,mFequalsO)electric−quadrupoletransitionofasinglelaser−cooled199Hg+ionstoredinacryogenicradio−frequencyiontrap.WeobservedFourier−transformlimitedlinewidthsasnarrowas6.7Hzat282nm(1.06X1015Hz).Thefunctionalformandestimatedvaluesofsomeofthefrequencyshiftsofthe2S1/2ARLR 2D5/2 clock transition (including the quadrupole shift), which have been calculated using a combination of measured atomic parameters and ab initio calculations, are given.© (2001) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Using a laser that is frequency-locked to a Fabry-Perot etalon of high finesse and stability, we probed the 5d106s 2S1/2(F equals O, mF equals O) $ARLR 5d96s22D5/2 (F equals 2, mF equals O) electric-quadrupole transition of a single laser-cooled 199Hg+ ion stored in a cryogenic radio-frequency ion trap. We observed Fourier-transform limited linewidths as narrow as 6.7 Hz at 282 nm (1.06 X 1015 Hz). The functional form and estimated values of some of the frequency shifts of the 2S1/2 $ARLR 2D5/2 clock transition (including the quadrupole shift), which have been calculated using a combination of measured atomic parameters and ab initio calculations, are given.© (2001) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Using a laser that is frequency locked to a Fabry-P\'erot \'etalon of high finesse and stability, we probe the ${5d}^{10}6s^{2}S_{1/2}(F\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0)\ensuremath{\leftrightarrow}{5d}^{9}{6s}^{2}^{2}D_{5/2}(F\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}2)$ $\ensuremath{\Delta}{m}_{F}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}0$ electric-quadrupole transition of a single laser-cooled 199Hg+{}^{199}{\mathrm{Hg}}^{+}199Hg+ ion stored in a cryogenic radio-frequency ion trap. We observe Fourier-transform limited linewidths as narrow as 6.7 Hz at 282 nm ( $1.06\ifmmode\times\else\texttimes\fi{}{10}^{15}\phantom{\rule{0ex}{0ex}}\mathrm{Hz}$), yielding a line $Q\ensuremath{\approx}1.6\ifmmode\times\else\texttimes\fi{}{10}^{14}$. We perform a preliminary measurement of the ${5d}^{9}{6s}^{2}^{2}D_{5/2}$ electric-quadrupole shift due to interaction with the static fields of the trap, and discuss the implications for future trapped-ion optical frequency standards.
We are developing an optical frequency standard based on the narrow /sup 2/S/sub 1/2/-/sup 2/D/sub 5/2/ electric-quadrupole transition of a single trapped /sup 199/Hg/sup +/ ion. Small linear traps designed to operate at liquid helium temperatures have been constructed which will provide confinement in the Lamb-Dicke regime for the optical transition. Cryogenic operation yields long ion storage times and significantly suppresses frequency shifts due to collisions and blackbody radiation. A major step toward the completion of this standard has been the construction and evaluation of a well isolated, high-finesse, Fabry-Perot cavity to stabilize the frequency of the interrogating laser. We report our cavity results and progress toward locking the laser frequency to the transition in the stored ion.
The present decade has seen great advances in optical frequency standards following the development of femtosecond laser frequency combs. With this technology, combined with a stable and narrow probe laser source (50-100 Hz linewidth), we made a systematic study of the 5s 2S1/2-4d 2D5/2 (S-D) transition frequency of the 88Sr+ ion as a function of the quantization axis in the trap. This study revealed the presence of systematic shifts caused by residual micromotion in our rf Paul trap and led to an evaluation of those shifts. Also, a method was developed based on the measurement of the Zeeman spectrum of the clock transition to cancel the electric quadrupole shift caused by patch potentials on the trap electrodes. From these results, we also determined the absolute frequency of the S-D clock transition frequency at 674 nm with a fractional frequency uncertainty of 3.4 × 10-14. We have since made improvements to our probe laser system and have observed 5 Hz Fourier transform limited linewidths on a Zeeman component of the S-D transition of the 88Sr+ ion. To observe such a narrow transition it is essential to have a known and well behaved drift of the laser frequency during the few minutes it takes to measure the ion resonance using the quantum jump signal. Our approach to minimize the drift rate and its sensitivity to temperature fluctuations has been to stabilize the cavity at the temperature where its coefficient of thermal expansion is zero. We will present an overview of our recent progress made on the frequency standard based on the laser-cooled and trapped single ion of 88Sr+.