Physical Review A

Frequency measurement of the S21/2−F27/2 electric octupole transition in a single Y171b+ ion

Kazumoto Hosaka, Stephen A. Webster, A. F. B. Stannard, B. R. Walton, Helen S. Margolis, Patrick Robert Gill

Published Mar 10, 2009• 55 citations

Abstract

We report on precision laser spectroscopy of the ${^{2}S}_{1/2}(F=0)\text{\ensuremath{-}}{^{2}F}_{7/2}(F=3,{m}_{F}=0)$ clock transition in a single ion of ${^{171}\text{Y}\text{b}}^{+}$. A linewidth of $<40\text{ }\text{Hz}$ is observed and frequency instability due to fluctuation of the ac Stark shift is reduced through improved stability of the beam alignment. The absolute value of the transition frequency, determined using an optical frequency comb, is $642\text{ }121\text{ }496\text{ }772\text{ }657\ifmmode\pm\else\textpm\fi{}12\text{ }\text{Hz}$ with a fractional uncertainty of $2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}14}$. This is a factor of 50 better than the previously published value [Hosaka et al., IEEE Trans. Instrum. Meas. 54, 759 (2005)].

DOI: 10.1103/physreva.79.033403

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Physical Review A

Frequency measurement of the S21/2−F27/2 electric octupole transition in a single Y171b+ ion

Kazumoto Hosaka, Stephen A. Webster, A. F. B. Stannard, B. R. Walton, Helen S. Margolis, Patrick Robert Gill

Published Mar 10, 2009• 55 citations

Publisher

Abstract

We report on precision laser spectroscopy of the

{^{2}S}_{1/2}(F=0)\text{\ensuremath{-}}{^{2}F}_{7/2}(F=3,{m}_{F}=0)

clock transition in a single ion of

{^{171}\text{Y}\text{b}}^{+}

. A linewidth of

<40\text{ }\text{Hz}

is observed and frequency instability due to fluctuation of the ac Stark shift is reduced through improved stability of the beam alignment. The absolute value of the transition frequency, determined using an optical frequency comb, is

642\text{ }121\text{ }496\text{ }772\text{ }657\ifmmode\pm\else\textpm\fi{}12\text{ }\text{Hz}

with a fractional uncertainty of

2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}14}

. This is a factor of 50 better than the previously published value [Hosaka et al., IEEE Trans. Instrum. Meas. 54, 759 (2005)].

DOI: 10.1103/physreva.79.033403

Related papers

Subkilohertz absolute-frequency measurement of the 467-nm electric octupole transition in 171Yb+

P. J. Blythe, Stephen A. Webster, Helen S. Margolis +6 more

The ${}^{2}{S}_{1/2}{(F=0)}^{2}{F}_{7/2}{(F=3,m}_{F}=0)$ transition at 467 nm in a single trapped, laser-cooled ion of ${}^{171}{\mathrm{Yb}}^{+}$ has been measured to be ${f}_{{\mathrm{Yb}}^{+}}=642121496771.26(23)\mathrm{kHz}$ using a femtosecond laser frequency comb generator. The measurement is limited by measurement statistics and by the ac Stark shift, both related to the 4.5 kHz linewidth of the probe laser at the time. The systematic shifts of the transition, including ac Stark, second-order Zeeman, quadrupole, and blackbody shifts, have been evaluated.The ${}^{2}{S}_{1/2}{(F=0)}^{2}{F}_{7/2}{(F=3,m}_{F}=0)$ transition at 467 nm in a single trapped, laser-cooled ion of ${}^{171}{\mathrm{Yb}}^{+}$ has been measured to be ${f}_{{\mathrm{Yb}}^{+}}=642121496771.26(23)\mathrm{kHz}$ using a femtosecond laser frequency comb generator. The measurement is limited by measurement statistics and by the ac Stark shift, both related to the 4.5 kHz linewidth of the probe laser at the time. The systematic shifts of the transition, including ac Stark, second-order Zeeman, quadrupole, and blackbody shifts, have been evaluated.

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Kilohertz-resolution spectroscopy of the 2S1/2−2F7/2 electric octupole transition in a single 171Yb+ ion

Stephen A. Webster, Philip H. Taylor, M. Roberts +2 more

Spectroscopy has been performed on $\mathrm{the}{}^{2}{S}_{1/2}(F=0,{m}_{F}{=0)\ensuremath{-}}^{2}{F}_{7/2}{(F=3,m}_{F}=0)$ electric octupole transition in ${}^{171}{\mathrm{Yb}}^{+}$ with kilohertz resolution. A quantum jump rate of more than one per second has been achieved, a factor of 100 improvement on previous work. Spectra including the sidebands at the trap secular frequency show the ion to be in the Lambe-Dicke regime and hence the Doppler effect has been eliminated to first order. The dynamic Stark shift is a significant perturbation to the frequency because of the high intensity required to drive the octupole transition. It has been measured as ${42}_{\ensuremath{-}10}^{+12} \ensuremath{\mu}\mathrm{Hz}{\mathrm{W}}^{\ensuremath{-}1}{\mathrm{m}}^{2}$ and with further reduction in the probe laser linewidth, it should be possible to reduce the relative uncertainty in this shift to the parts in ${10}^{18}$ level. The transition is free from the Zeeman effect to first order and has a measured second-order shift of $1.9(3) \mathrm{mHz}(\ensuremath{\mu}\mathrm{T}{)}^{\ensuremath{-}2}.$ It should be possible to reduce the relative uncertainty in this shift to below the part in ${10}^{18}$ level. The electric quadrupole shift may be the limiting systematic effect, but cannot yet be observed with the current resolution on the transition.Spectroscopy has been performed on $\mathrm{the}{}^{2}{S}_{1/2}(F=0,{m}_{F}{=0)\ensuremath{-}}^{2}{F}_{7/2}{(F=3,m}_{F}=0)$ electric octupole transition in ${}^{171}{\mathrm{Yb}}^{+}$ with kilohertz resolution. A quantum jump rate of more than one per second has been achieved, a factor of 100 improvement on previous work. Spectra including the sidebands at the trap secular frequency show the ion to be in the Lambe-Dicke regime and hence the Doppler effect has been eliminated to first order. The dynamic Stark shift is a significant perturbation to the frequency because of the high intensity required to drive the octupole transition. It has been measured as ${42}_{\ensuremath{-}10}^{+12} \ensuremath{\mu}\mathrm{Hz}{\mathrm{W}}^{\ensuremath{-}1}{\mathrm{m}}^{2}$ and with further reduction in the probe laser linewidth, it should be possible to reduce the relative uncertainty in this shift to the parts in ${10}^{18}$ level. The transition is free from the Zeeman effect to first order and has a measured second-order shift of $1.9(3) \mathrm{mHz}(\ensuremath{\mu}\mathrm{T}{)}^{\ensuremath{-}2}.$ It should be possible to reduce the relative uncertainty in this shift to below the part in ${10}^{18}$ level. The electric quadrupole shift may be the limiting systematic effect, but cannot yet be observed with the current resolution on the transition.

Physical Review AApr 15, 200233 citations

Precision frequency measurement of the 2S1/2 — 2F7/2 electric octupole transition in a single 171Yb+ ion

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Conference on Precision Electromagnetic MeasurementsJun 1, 20085 citations

Stray-field-induced quadrupole shift and absolute frequency of the 688-THz Y171b+ single-ion optical frequency standard

Chr. Tamm, S. Weyers, B. Lipphardt +1 more

We report experimental investigations of a single-ion optical frequency standard based on ${^{171}\text{Y}\text{b}}^{+}$ . The ion is confined in a cylindrically symmetric radiofrequency Paul trap. The reference transition is the ${^{2}S}_{1/2}(F=0)--{^{2}D}_{3/2}({F}^{\ensuremath{'}}=2)$ electric quadrupole transition at 688 THz. Using a differential measurement scheme, we determine the shift of the reference transition frequency that occurs due to the interaction of the electric quadrupole moment of the ${^{2}D}_{3/2}$ state with the gradient of the electrostatic stray field in the trap. We determine an upper limit for the instability of the quadrupole shift over times between 100 s to 20 h. We also observe the variations in the shift and in the applied stray-field compensation voltages that result from loading a new ion into the trap and during a subsequent storage period of 74 days. This information is utilized to measure the absolute frequency of the reference transition with an uncertainty that is a factor of 3 smaller than that of the previous measurement. Using a fiber laser based optical frequency comb generator and the cesium fountain clock CSF1 of PTB (Physikalisch-Technische Bundesanstalt), the frequency at 300 K temperature is determined as $688\text{ }358\text{ }979\text{ }309\text{ }306.62\ifmmode\pm\else\textpm\fi{}0.73\text{ }\text{Hz}$.We report experimental investigations of a single-ion optical frequency standard based on ${^{171}\text{Y}\text{b}}^{+}$. The ion is confined in a cylindrically symmetric radiofrequency Paul trap. The reference transition is the ${^{2}S}_{1/2}(F=0)--{^{2}D}_{3/2}({F}^{\ensuremath{'}}=2)$ electric quadrupole transition at 688 THz. Using a differential measurement scheme, we determine the shift of the reference transition frequency that occurs due to the interaction of the electric quadrupole moment of the ${^{2}D}_{3/2}$ state with the gradient of the electrostatic stray field in the trap. We determine an upper limit for the instability of the quadrupole shift over times between 100 s to 20 h. We also observe the variations in the shift and in the applied stray-field compensation voltages that result from loading a new ion into the trap and during a subsequent storage period of 74 days. This information is utilized to measure the absolute frequency of the reference transition with an uncertainty that is a factor of 3 smaller than that of the previous measurement. Using a fiber laser based optical frequency comb generator and the cesium fountain clock CSF1 of PTB (Physikalisch-Technische Bundesanstalt), the frequency at 300 K temperature is determined as $688\text{ }358\text{ }979\text{ }309\text{ }306.62\ifmmode\pm\else\textpm\fi{}0.73\text{ }\text{Hz}$.

Physical Review AOct 6, 2009103 citations

We report on precision laser spectroscopy of the

{^{2}S}_{1/2}(F=0)\text{\ensuremath{-}}{^{2}F}_{7/2}(F=3,{m}_{F}=0)

clock transition in a single ion of

{^{171}\text{Y}\text{b}}^{+}

. A linewidth of

<40\text{ }\text{Hz}

642\text{ }121\text{ }496\text{ }772\text{ }657\ifmmode\pm\else\textpm\fi{}12\text{ }\text{Hz}

with a fractional uncertainty of

2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}14}

. This is a factor of 50 better than the previously published value [Hosaka et al., IEEE Trans. Instrum. Meas. 54, 759 (2005)].

The

{}^{2}{S}_{1/2}{(F=0)}^{2}{F}_{7/2}{(F=3,m}_{F}=0)

transition at 467 nm in a single trapped, laser-cooled ion of

{}^{171}{\mathrm{Yb}}^{+}

has been measured to be

{f}_{{\mathrm{Yb}}^{+}}=642121496771.26(23)\mathrm{kHz}

using a femtosecond laser frequency comb generator. The measurement is limited by measurement statistics and by the ac Stark shift, both related to the 4.5 kHz linewidth of the probe laser at the time. The systematic shifts of the transition, including ac Stark, second-order Zeeman, quadrupole, and blackbody shifts, have been evaluated.

Spectroscopy has been performed on $\mathrm{the}{}^{2}{S}_{1/2}(F=0,{m}_{F}{=0)\ensuremath{-}}^{2}{F}_{7/2}{(F=3,m}_{F}=0)$ electric octupole transition in

{}^{171}{\mathrm{Yb}}^{+}

with kilohertz resolution. A quantum jump rate of more than one per second has been achieved, a factor of 100 improvement on previous work. Spectra including the sidebands at the trap secular frequency show the ion to be in the Lambe-Dicke regime and hence the Doppler effect has been eliminated to first order. The dynamic Stark shift is a significant perturbation to the frequency because of the high intensity required to drive the octupole transition. It has been measured as ${42}_{\ensuremath{-}10}^{+12} \ensuremath{\mu}\mathrm{Hz}{\mathrm{W}}^{\ensuremath{-}1}{\mathrm{m}}^{2}$ and with further reduction in the probe laser linewidth, it should be possible to reduce the relative uncertainty in this shift to the parts in

{10}^{18}

level. The transition is free from the Zeeman effect to first order and has a measured second-order shift of $1.9(3) \mathrm{mHz}(\ensuremath{\mu}\mathrm{T}{)}^{\ensuremath{-}2}.$ It should be possible to reduce the relative uncertainty in this shift to below the part in

{10}^{18}

level. The electric quadrupole shift may be the limiting systematic effect, but cannot yet be observed with the current resolution on the transition.

We report experimental investigations of a single-ion optical frequency standard based on

{^{171}\text{Y}\text{b}}^{+}

. The ion is confined in a cylindrically symmetric radiofrequency Paul trap. The reference transition is the ${^{2}S}_{1/2}(F=0)--{^{2}D}_{3/2}({F}^{\ensuremath{'}}=2)$ electric quadrupole transition at 688 THz. Using a differential measurement scheme, we determine the shift of the reference transition frequency that occurs due to the interaction of the electric quadrupole moment of the

{^{2}D}_{3/2}

state with the gradient of the electrostatic stray field in the trap. We determine an upper limit for the instability of the quadrupole shift over times between 100 s to 20 h. We also observe the variations in the shift and in the applied stray-field compensation voltages that result from loading a new ion into the trap and during a subsequent storage period of 74 days. This information is utilized to measure the absolute frequency of the reference transition with an uncertainty that is a factor of 3 smaller than that of the previous measurement. Using a fiber laser based optical frequency comb generator and the cesium fountain clock CSF1 of PTB (Physikalisch-Technische Bundesanstalt), the frequency at 300 K temperature is determined as $688\text{ }358\text{ }979\text{ }309\text{ }306.62\ifmmode\pm\else\textpm\fi{}0.73\text{ }\text{Hz}$.