arXiv:1007.1481 · Physical Review A

Measurement of the Landé g factor of the 5D5/2 state of Ba ii with a single trapped ion

Nathan Kurz, Matthew Dietrich, Gang Shu, T. Noel, B. B. Blinov

Published Sep 27, 2010• 6 citations

Abstract

We present a terrestrial measurement of the Land\'e $g$ factor of the $5{D}_{5/2}$ state of singly ionized barium. Measurements were performed on single Doppler-cooled ${}^{138}{\mathrm{Ba}}^{+}$ ions in a linear Paul trap. A frequency-stabilized fiber laser with a nominal wavelength of $1.762$ $\ensuremath{\mu}$m was scanned across the $6{S}_{1/2}\ensuremath{\leftrightarrow}5{D}_{5/2}$ transition to spectroscopically resolve transitions between Zeeman sublevels of the ground and excited states. From the relative positions of the four narrow transitions observed at several different values for the applied magnetic field, we find a value of $1.2020\ifmmode\pm\else\textpm\fi{}0.0005$ for ${g}_{5{D}_{5/2}}$.

DOI: 10.1103/physreva.82.030501

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Radio-frequency-spectroscopy measurement of the Landé gJ factor of the 5D5/2 state of Ba + with a single trapped ion

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Dual-Platform Precision Measurement of the $3^2D_{5/2}$ to $4^2S_{1/2}$ $g$-Factor Ratio in $^{40}\text{Ca}^+$

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Experimental gJ factor in the metastable 5 D3/2 level of Ba+

K. H. Knöll, G. Marx, K. Hübner +4 more

Physical Review AAug 1, 199623 citations

Coherent excitation of the 6S1/2 to 5D3/2 electric-quadrupole transition in 138 Ba +

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arXiv:1203.1978Physical Review AApr 20, 201214 citations

arXiv:1007.1481 · Physical Review A

Measurement of the Landé g factor of the 5D5/2 state of Ba ii with a single trapped ion

Nathan Kurz, Matthew Dietrich, Gang Shu, T. Noel, B. B. Blinov

Published Sep 27, 2010• 6 citations

arXiv HTML PDF

Abstract

We present a terrestrial measurement of the Land'e

g

factor of the

5{D}_{5/2}

state of singly ionized barium. Measurements were performed on single Doppler-cooled

{}^{138}{\mathrm{Ba}}^{+}

ions in a linear Paul trap. A frequency-stabilized fiber laser with a nominal wavelength of

1.762

\ensuremath{\mu}

m was scanned across the

6{S}_{1/2}\ensuremath{\leftrightarrow}5{D}_{5/2}

transition to spectroscopically resolve transitions between Zeeman sublevels of the ground and excited states. From the relative positions of the four narrow transitions observed at several different values for the applied magnetic field, we find a value of

1.2020\ifmmode\pm\else\textpm\fi{}0.0005

for

{g}_{5{D}_{5/2}}

DOI: 10.1103/physreva.82.030501

Related papers

Radio-frequency-spectroscopy measurement of the Landé gJ factor of the 5D5/2 state of Ba + with a single trapped ion

Matthew Hoffman, Thomas W. Noel, Carolyn Auchter +4 more

We report an improved measurement of the Land\'e ${g}_{J}$ factor of the $5{D}_{5/2}$ state of singly ionized barium. Measurements were performed on single Doppler-cooled ${}^{138}$ Ba ${}^{+}$ ions in linear Paul traps using two similar, independent apparatuses. Transitions between Zeeman sublevels of the $6{S}_{1/2}$ and $5{D}_{5/2}$ states were driven with two independent, stabilized radio-frequency synthesizers using a dedicated electrode within each ion trap chamber. State detection within each Zeeman manifold was achieved with a frequency-stabilized fiber laser operating at 1.76 $\ensuremath{\mu}$m. By calculating the ratio of the two Zeeman splittings, and using the measured Land\'e ${g}_{J}$ factor of the $6{S}_{1/2}$ state, we find a value of 1.200 372 $({4}_{\mathrm{stat}})({7}_{\mathrm{sys}})$ for ${g}_{{D}_{5/2}}$ .We report an improved measurement of the Land\'e ${g}_{J}$ factor of the $5{D}_{5/2}$ state of singly ionized barium. Measurements were performed on single Doppler-cooled ${}^{138}$Ba${}^{+}$ ions in linear Paul traps using two similar, independent apparatuses. Transitions between Zeeman sublevels of the $6{S}_{1/2}$ and $5{D}_{5/2}$ states were driven with two independent, stabilized radio-frequency synthesizers using a dedicated electrode within each ion trap chamber. State detection within each Zeeman manifold was achieved with a frequency-stabilized fiber laser operating at 1.76 $\ensuremath{\mu}$m. By calculating the ratio of the two Zeeman splittings, and using the measured Land\'e ${g}_{J}$ factor of the $6{S}_{1/2}$ state, we find a value of 1.200 372$({4}_{\mathrm{stat}})({7}_{\mathrm{sys}})$ for ${g}_{{D}_{5/2}}$.

arXiv:1306.3518Physical Review AAug 28, 201314 citations

Dual-Platform Precision Measurement of the $3^2D_{5/2}$ to $4^2S_{1/2}$ $g$ -Factor Ratio in $^{40}\text{Ca}^+$ Dual-Platform Precision Measurement of the $3^2D_{5/2}$ to $4^2S_{1/2}$ $g$-Factor Ratio in $^{40}\text{Ca}^+$

Brian J. McMahon, Vikram S. Sandhu, John M. Gray +5 more

We report precision measurements of the ratio of Landé $g$ factors between the $3^2D_{5/2}$ and $4^2S_{1/2}$ states of a single trapped $^{40}\text{Ca}^+$ ion. The measurements are performed in two distinct ion trap apparatus: a cryogenic surface electrode radiofrequency Paul trap and a room-temperature permanent magnet Penning trap. The Penning trap measurements rely on resonant microwave excitation of magnetic sublevels and yield a ratio of $0.599~488~813~3(2)$ , which is a more than 40-fold uncertainty reduction compared to previous work. The radiofrequency trap measurements utilize optical electric quadrupole transitions and yield a concurring value of $0.599~488~813(6)$ . We estimate that systematic shifts for each system are well below the respective statistical uncertainty.We report precision measurements of the ratio of Landé $g$ factors between the $3^2D_{5/2}$ and $4^2S_{1/2}$ states of a single trapped $^{40}\text{Ca}^+$ ion. The measurements are performed in two distinct ion trap apparatus: a cryogenic surface electrode radiofrequency Paul trap and a room-temperature permanent magnet Penning trap. The Penning trap measurements rely on resonant microwave excitation of magnetic sublevels and yield a ratio of $0.599~488~813~3(2)$, which is a more than 40-fold uncertainty reduction compared to previous work. The radiofrequency trap measurements utilize optical electric quadrupole transitions and yield a concurring value of $0.599~488~813(6)$. We estimate that systematic shifts for each system are well below the respective statistical uncertainty.

physics.atom-phCross-listedarXiv:2607.07929Jul 10, 20260 citations

Determination of hyperfine splittings and Landé gJ factors of 5s2S1/2 and 5p2P1/2,3/2 states of Cd+111,113 for microwave frequency standards

J. Z. Han, R. Si, H. R. Qin +6 more

Regarding microwave frequency standards based on trapped ions, we report on the determination of the hyperfine splittings and the Land\'e ${g}_{J}$ factors of $^{111,113}\mathrm{Cd}^{+}$ . The hyperfine splittings and Land\'e ${g}_{J}$ factors of the $5s{\phantom{\rule{0.16em}{0ex}}}^{2}{S}_{1/2}$ and $5p{\phantom{\rule{0.16em}{0ex}}}^{2}{P}_{1/2,3/2}$ states of $^{111,113}\mathrm{Cd}^{+}$ are calculated using the multiconfiguration Dirac-Hartree-Fock scheme. Furthermore, the hyperfine splittings of the $5p{\phantom{\rule{0.16em}{0ex}}}^{2}{P}_{3/2}$ state of $^{111,113}\mathrm{Cd}^{+}$ are derived based on the laser-induced fluorescence spectroscopy. The ${\mathrm{Cd}}^{+}$ ions are confined in a linear Paul trap and sympathetically cooled by laser-cooled ${\mathrm{Ca}}^{+}$ ions. The calculated values and the derived values are cross-checked, thereby guaranteeing the reliability of our results. The results provided in this paper can improve the signal-to-noise ratio of the clock transition and the accuracy of the second-order Zeeman shift correction, thus further improving the stability and accuracy of the microwave frequency standards based on trapped $^{111,113}\mathrm{Cd}^{+}$ ions.Regarding microwave frequency standards based on trapped ions, we report on the determination of the hyperfine splittings and the Land\'e ${g}_{J}$ factors of $^{111,113}\mathrm{Cd}^{+}$. The hyperfine splittings and Land\'e ${g}_{J}$ factors of the $5s{\phantom{\rule{0.16em}{0ex}}}^{2}{S}_{1/2}$ and $5p{\phantom{\rule{0.16em}{0ex}}}^{2}{P}_{1/2,3/2}$ states of $^{111,113}\mathrm{Cd}^{+}$ are calculated using the multiconfiguration Dirac-Hartree-Fock scheme. Furthermore, the hyperfine splittings of the $5p{\phantom{\rule{0.16em}{0ex}}}^{2}{P}_{3/2}$ state of $^{111,113}\mathrm{Cd}^{+}$ are derived based on the laser-induced fluorescence spectroscopy. The ${\mathrm{Cd}}^{+}$ ions are confined in a linear Paul trap and sympathetically cooled by laser-cooled ${\mathrm{Ca}}^{+}$ ions. The calculated values and the derived values are cross-checked, thereby guaranteeing the reliability of our results. The results provided in this paper can improve the signal-to-noise ratio of the clock transition and the accuracy of the second-order Zeeman shift correction, thus further improving the stability and accuracy of the microwave frequency standards based on trapped $^{111,113}\mathrm{Cd}^{+}$ ions.

arXiv:2201.06719Physical Review AJul 27, 20226 citations

Precision Measurements of the Ba+138 6sS21/2−5dD25/2 Clock Transition

K. J. Arnold, R. Kaewuam, Sapam Ranjita Chanu +3 more

Measurement of the $^{138}{\mathrm{Ba}}^{+}$ ${^{2}S}_{1/2}\ensuremath{-}{^{2}D}_{5/2}$ clock transition frequency and ${D}_{5/2}$ Land\'e ${g}_{J}$ factor are reported. The clock transition frequency ${\ensuremath{\nu}}_{{\mathrm{Ba}}^{+}}=170126432449333.31\ifmmode\pm\else\textpm\fi{}(0.39{)}_{\mathrm{stat}}\ifmmode\pm\else\textpm\fi{}(0.29{)}_{\mathrm{sys}}\text{ }\text{ }\mathrm{Hz}$, is obtained with accuracy limited by the frequency calibration of the maser used as a reference oscillator. The Land\'e ${g}_{J}$ factor for the ${^{2}D}_{5/2}$ level is determined to be ${g}_{D}=1.20036739(24)$ , which is a 30-fold improvement on previous measurements. The $g$ -factor measurements are corrected for an ac-magnetic field from trap-drive-induced currents in the electrodes, and data taken over a range of magnetic fields underscores the importance of accounting for this systematic.Measurement of the $^{138}{\mathrm{Ba}}^{+}$ ${^{2}S}_{1/2}\ensuremath{-}{^{2}D}_{5/2}$ clock transition frequency and ${D}_{5/2}$ Land\'e ${g}_{J}$ factor are reported. The clock transition frequency ${\ensuremath{\nu}}_{{\mathrm{Ba}}^{+}}=170126432449333.31\ifmmode\pm\else\textpm\fi{}(0.39{)}_{\mathrm{stat}}\ifmmode\pm\else\textpm\fi{}(0.29{)}_{\mathrm{sys}}\text{ }\text{ }\mathrm{Hz}$, is obtained with accuracy limited by the frequency calibration of the maser used as a reference oscillator. The Land\'e ${g}_{J}$ factor for the ${^{2}D}_{5/2}$ level is determined to be ${g}_{D}=1.20036739(24)$, which is a 30-fold improvement on previous measurements. The $g$-factor measurements are corrected for an ac-magnetic field from trap-drive-induced currents in the electrodes, and data taken over a range of magnetic fields underscores the importance of accounting for this systematic.

arXiv:1906.09150Physical Review LettersMay 11, 202032 citations

Experimental gJ factor in the metastable 5 D3/2 level of Ba+

K. H. Knöll, G. Marx, K. Hübner +4 more

The Zeeman splitting of the metastable 5 ${\mathit{D}}_{3/2}$ level of $^{138}\mathrm{Ba}^{+}$ in a magnetic field of 6 T has been measured in a laser-microwave double resonance experiment in a Penning ion trap. The magnetic field at the ion's position is determined by the cyclotron frequency of electrons stored in the same trap. From the ratio of both transition frequencies we obtain a ${\mathit{g}}_{\mathit{J}}$ value of 0.799 327 8(3). As a by-product, we confirmed earlier measurements on the 6 ${\mathit{S}}_{1/2}$ ground-state ${\mathit{g}}_{\mathit{J}}$ factor to 2.002 492 2(10). The precision in both experiments is sufficient to test relativistic many-body calculations. \textcopyright{} 1996 The American Physical Society.The Zeeman splitting of the metastable 5${\mathit{D}}_{3/2}$ level of $^{138}\mathrm{Ba}^{+}$ in a magnetic field of 6 T has been measured in a laser-microwave double resonance experiment in a Penning ion trap. The magnetic field at the ion's position is determined by the cyclotron frequency of electrons stored in the same trap. From the ratio of both transition frequencies we obtain a ${\mathit{g}}_{\mathit{J}}$ value of 0.799 327 8(3). As a by-product, we confirmed earlier measurements on the 6${\mathit{S}}_{1/2}$ ground-state ${\mathit{g}}_{\mathit{J}}$ factor to 2.002 492 2(10). The precision in both experiments is sufficient to test relativistic many-body calculations. \textcopyright{} 1996 The American Physical Society.

Physical Review AAug 1, 199623 citations

Coherent excitation of the 6S1/2 to 5D3/2 electric-quadrupole transition in 138 Ba +

Adam Kleczewski, Matthew Hoffman, Jeff A. Sherman +3 more

The electric dipole-forbidden, quadrupole $6{S}_{1/2}\ensuremath{\leftrightarrow}5{D}_{3/2}$ transition in Ba ${}^{+}$ near 2051 nm, with a natural linewidth of 13 mHz, is attractive for potential observation of parity nonconservation, and also as a clock transition for a barium ion optical frequency standard. This transition also offers a direct means of populating the metastable $5{D}_{3/2}$ state to measure the nuclear magnetic octupole moment in the odd barium isotopes. Light from a diode-pumped, solid-state Tm,Ho:YLF laser operating at 2051 nm is used to coherently drive this transition between resolved Zeeman levels in a single trapped ${}^{138}$ Ba ${}^{+}$ ion. The frequency of the laser is stabilized to a high-finesse Fabry-P\'erot cavity at 1025 nm after being frequency doubled. Rabi oscillations on this transition indicate a laser-ion coherence time of 3 ms, most likely limited by ambient magnetic field fluctuations.The electric dipole-forbidden, quadrupole $6{S}_{1/2}\ensuremath{\leftrightarrow}5{D}_{3/2}$ transition in Ba${}^{+}$ near 2051 nm, with a natural linewidth of 13 mHz, is attractive for potential observation of parity nonconservation, and also as a clock transition for a barium ion optical frequency standard. This transition also offers a direct means of populating the metastable $5{D}_{3/2}$ state to measure the nuclear magnetic octupole moment in the odd barium isotopes. Light from a diode-pumped, solid-state Tm,Ho:YLF laser operating at 2051 nm is used to coherently drive this transition between resolved Zeeman levels in a single trapped ${}^{138}$Ba${}^{+}$ ion. The frequency of the laser is stabilized to a high-finesse Fabry-P\'erot cavity at 1025 nm after being frequency doubled. Rabi oscillations on this transition indicate a laser-ion coherence time of 3 ms, most likely limited by ambient magnetic field fluctuations.

arXiv:1203.1978Physical Review AApr 20, 201214 citations

We present a terrestrial measurement of the Land'e

g

factor of the

5{D}_{5/2}

state of singly ionized barium. Measurements were performed on single Doppler-cooled

{}^{138}{\mathrm{Ba}}^{+}

ions in a linear Paul trap. A frequency-stabilized fiber laser with a nominal wavelength of

1.762

\ensuremath{\mu}

m was scanned across the

6{S}_{1/2}\ensuremath{\leftrightarrow}5{D}_{5/2}

1.2020\ifmmode\pm\else\textpm\fi{}0.0005

for

{g}_{5{D}_{5/2}}

We report an improved measurement of the Land\'e

{g}_{J}

factor of the

5{D}_{5/2}

state of singly ionized barium. Measurements were performed on single Doppler-cooled

{}^{138}

{}^{+}

ions in linear Paul traps using two similar, independent apparatuses. Transitions between Zeeman sublevels of the

6{S}_{1/2}

and

5{D}_{5/2}

states were driven with two independent, stabilized radio-frequency synthesizers using a dedicated electrode within each ion trap chamber. State detection within each Zeeman manifold was achieved with a frequency-stabilized fiber laser operating at 1.76 $\ensuremath{\mu}$m. By calculating the ratio of the two Zeeman splittings, and using the measured Land\'e

{g}_{J}

factor of the

6{S}_{1/2}

state, we find a value of 1.200 372

({4}_{\mathrm{stat}})({7}_{\mathrm{sys}})

for

{g}_{{D}_{5/2}}

Dual-Platform Precision Measurement of the

3^2D_{5/2}

4^2S_{1/2}

g

-Factor Ratio in

^{40}\text{Ca}^+

We report precision measurements of the ratio of Landé

g

factors between the

3^2D_{5/2}

and

4^2S_{1/2}

states of a single trapped

^{40}\text{Ca}^+

ion. The measurements are performed in two distinct ion trap apparatus: a cryogenic surface electrode radiofrequency Paul trap and a room-temperature permanent magnet Penning trap. The Penning trap measurements rely on resonant microwave excitation of magnetic sublevels and yield a ratio of

0.599~488~813~3(2)

, which is a more than 40-fold uncertainty reduction compared to previous work. The radiofrequency trap measurements utilize optical electric quadrupole transitions and yield a concurring value of

0.599~488~813(6)

. We estimate that systematic shifts for each system are well below the respective statistical uncertainty.

Regarding microwave frequency standards based on trapped ions, we report on the determination of the hyperfine splittings and the Land\'e

{g}_{J}

factors of

^{111,113}\mathrm{Cd}^{+}

. The hyperfine splittings and Land\'e

{g}_{J}

factors of the

5s{\phantom{\rule{0.16em}{0ex}}}^{2}{S}_{1/2}

and

5p{\phantom{\rule{0.16em}{0ex}}}^{2}{P}_{1/2,3/2}

states of

^{111,113}\mathrm{Cd}^{+}

are calculated using the multiconfiguration Dirac-Hartree-Fock scheme. Furthermore, the hyperfine splittings of the

5p{\phantom{\rule{0.16em}{0ex}}}^{2}{P}_{3/2}

state of

^{111,113}\mathrm{Cd}^{+}

are derived based on the laser-induced fluorescence spectroscopy. The

{\mathrm{Cd}}^{+}

ions are confined in a linear Paul trap and sympathetically cooled by laser-cooled

{\mathrm{Ca}}^{+}

ions. The calculated values and the derived values are cross-checked, thereby guaranteeing the reliability of our results. The results provided in this paper can improve the signal-to-noise ratio of the clock transition and the accuracy of the second-order Zeeman shift correction, thus further improving the stability and accuracy of the microwave frequency standards based on trapped

^{111,113}\mathrm{Cd}^{+}

ions.

Measurement of the

^{138}{\mathrm{Ba}}^{+}

${^{2}S}_{1/2}\ensuremath{-}{^{2}D}_{5/2}$ clock transition frequency and

{D}_{5/2}

Land\'e

{g}_{J}

factor are reported. The clock transition frequency ${\ensuremath{\nu}}_{{\mathrm{Ba}}^{+}}=170126432449333.31\ifmmode\pm\else\textpm\fi{}(0.39{)}_{\mathrm{stat}}\ifmmode\pm\else\textpm\fi{}(0.29{)}_{\mathrm{sys}}\text{ }\text{ }\mathrm{Hz}$, is obtained with accuracy limited by the frequency calibration of the maser used as a reference oscillator. The Land\'e

{g}_{J}

factor for the

{^{2}D}_{5/2}

level is determined to be

{g}_{D}=1.20036739(24)

, which is a 30-fold improvement on previous measurements. The

g

-factor measurements are corrected for an ac-magnetic field from trap-drive-induced currents in the electrodes, and data taken over a range of magnetic fields underscores the importance of accounting for this systematic.

The Zeeman splitting of the metastable 5

{\mathit{D}}_{3/2}

level of

^{138}\mathrm{Ba}^{+}

in a magnetic field of 6 T has been measured in a laser-microwave double resonance experiment in a Penning ion trap. The magnetic field at the ion's position is determined by the cyclotron frequency of electrons stored in the same trap. From the ratio of both transition frequencies we obtain a

{\mathit{g}}_{\mathit{J}}

value of 0.799 327 8(3). As a by-product, we confirmed earlier measurements on the 6

{\mathit{S}}_{1/2}

ground-state

{\mathit{g}}_{\mathit{J}}

factor to 2.002 492 2(10). The precision in both experiments is sufficient to test relativistic many-body calculations. \textcopyright{} 1996 The American Physical Society.

The electric dipole-forbidden, quadrupole $6{S}_{1/2}\ensuremath{\leftrightarrow}5{D}_{3/2}$ transition in Ba

{}^{+}

near 2051 nm, with a natural linewidth of 13 mHz, is attractive for potential observation of parity nonconservation, and also as a clock transition for a barium ion optical frequency standard. This transition also offers a direct means of populating the metastable

5{D}_{3/2}

state to measure the nuclear magnetic octupole moment in the odd barium isotopes. Light from a diode-pumped, solid-state Tm,Ho:YLF laser operating at 2051 nm is used to coherently drive this transition between resolved Zeeman levels in a single trapped

{}^{138}

{}^{+}

ion. The frequency of the laser is stabilized to a high-finesse Fabry-P\'erot cavity at 1025 nm after being frequency doubled. Rabi oscillations on this transition indicate a laser-ion coherence time of 3 ms, most likely limited by ambient magnetic field fluctuations.