Physical Review A

Precision Lamb-shift measurement in the n=2 state of Li2+6

Marvin Leventhal

Published Feb 1, 1975• 28 citations

Abstract

A microwave-optical-pulsing and trapping technique has been employed to observe Lamb-shift ($\mathcal{S}=2{S}_{\frac{1}{2}}\ensuremath{\rightarrow}2{P}_{\frac{1}{2}}$) transitions in $^{6}\mathrm{Li}^{2+}$. Microwave transitions were induced in trapped metastable ${\mathrm{Li}}^{2+}(2{S}_{\frac{1}{2}})$ ions produced beforehand by a pulsed electron beam incident upon a low-pressure lithium vapor. Resonances were observed in the soft x-ray decay light as an applied magnetic field was swept through the Zeeman transition frequency. Computer fitting of 76 line centers yields $\mathcal{S}=62765\ifmmode\pm\else\textpm\fi{}21$ MHz, in good agreement with theory.

DOI: 10.1103/physreva.11.427

Related papers

He+ Lamb-shift measurement by the quenching-radiation anisotropy method

G. W. F. Drake, S. P. Goldman, Adriaan J. van Wijngaarden

Physical Review AOct 1, 197931 citations

Precision measurement of the ground-state hyperfine constant for $^9Be^+$ in a linear Paul trap via magnetically insensitive hyperfine transitions

Ao Zhi-Yuan, Wenli Bai, Qian-yu Zhang +2 more

arXiv:2601.14811Jan 21, 20260 citations

Precision measurement of the Mg+25 ground-state hyperfine constant

Zhilin Xu, Ke Deng, H. Che +3 more

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rf Spectroscopy with a Single Ba+ Ion

Timo Koerber, M. Schacht, Kristi R. G. Hendrickson +2 more

Physical Review LettersMar 26, 200225 citations

Precision measurement of the ground-state hyperfine constant for Be + 9 in a linear Paul trap via magnetically insensitive hyperfine transitions

Zhi-Yuan Ao, Wenli Bai, Qian-Yu Zhang +2 more

Physical Review AApr 10, 20260 citations

Precision measurement of the light shift of Mg+25 ions

W. H. Yuan, Ke Deng, Z. Y. Ma +5 more

Physical Review ANov 15, 20188 citations

Physical Review A

Precision Lamb-shift measurement in the n=2 state of Li2+6

Marvin Leventhal

Published Feb 1, 1975• 28 citations

Publisher

Abstract

A microwave-optical-pulsing and trapping technique has been employed to observe Lamb-shift (

\mathcal{S}=2{S}_{\frac{1}{2}}\ensuremath{\rightarrow}2{P}_{\frac{1}{2}}

) transitions in

^{6}\mathrm{Li}^{2+}

. Microwave transitions were induced in trapped metastable

{\mathrm{Li}}^{2+}(2{S}_{\frac{1}{2}})

ions produced beforehand by a pulsed electron beam incident upon a low-pressure lithium vapor. Resonances were observed in the soft x-ray decay light as an applied magnetic field was swept through the Zeeman transition frequency. Computer fitting of 76 line centers yields

\mathcal{S}=62765\ifmmode\pm\else\textpm\fi{}21

MHz, in good agreement with theory.

DOI: 10.1103/physreva.11.427

Related papers

He+ Lamb-shift measurement by the quenching-radiation anisotropy method

G. W. F. Drake, S. P. Goldman, Adriaan J. van Wijngaarden

The Lamb shift of ${\mathrm{He}}^{+}$ is derived from the measured anisotropy in the electric-field-induced quenching radiation of the metastable $2{s}_{\frac{1}{2}}$ state. The results demonstrate that the anisotropy method can be applied with high precision to one-electron ion beams, as well as neutral beams. We find a Lamb shift of 14040.2\ifmmode\pm\else\textpm\fi{}2.9 MHz (1 standard deviation). The sources of error and difficulties encountered in working with ion beams are discussed in detail.The Lamb shift of ${\mathrm{He}}^{+}$ is derived from the measured anisotropy in the electric-field-induced quenching radiation of the metastable $2{s}_{\frac{1}{2}}$ state. The results demonstrate that the anisotropy method can be applied with high precision to one-electron ion beams, as well as neutral beams. We find a Lamb shift of 14040.2\ifmmode\pm\else\textpm\fi{}2.9 MHz (1 standard deviation). The sources of error and difficulties encountered in working with ion beams are discussed in detail.

Physical Review AOct 1, 197931 citations

Precision measurement of the ground-state hyperfine constant for $^9Be^+$ in a linear Paul trap via magnetically insensitive hyperfine transitionsPrecision measurement of the ground-state hyperfine constant for $^9Be^+$ in a linear Paul trap via magnetically insensitive hyperfine transitions

Ao Zhi-Yuan, Wenli Bai, Qian-yu Zhang +2 more

Direct measurements of the ground-state magnetically insensitive hyperfine transition |F=2,mF=0>->|F=1,mF=0> of $^9Be^+$ ions have been performed using microwave-driven state transfer. The $^9Be^+$ ions are confined and laser-cooled in a linear Paul trap, forming a Coulomb crystal. The transition frequencies have been measured over a magnetic field range of $ \pm 0.5 mT $ centered at zero magnetic field, and the acquired data were fitted accounting for the high-order Zeeman effect. The hyperfine constant A is determined to be -625.008840(35) MHz, achieving a relative precision of $ 5.6 \times 10^{-8}$.Direct measurements of the ground-state magnetically insensitive hyperfine transition |F=2,mF=0>->|F=1,mF=0> of $^9Be^+$ ions have been performed using microwave-driven state transfer. The $^9Be^+$ ions are confined and laser-cooled in a linear Paul trap, forming a Coulomb crystal. The transition frequencies have been measured over a magnetic field range of $ \pm 0.5 mT $ centered at zero magnetic field, and the acquired data were fitted accounting for the high-order Zeeman effect. The hyperfine constant A is determined to be -625.008840(35) MHz, achieving a relative precision of $ 5.6 \times 10^{-8}$.

arXiv:2601.14811Jan 21, 20260 citations

Precision measurement of the Mg+25 ground-state hyperfine constant

Zhilin Xu, Ke Deng, H. Che +3 more

We report an experimental determination of the ground-state hyperfine constant $A$ of the $^{25}\mathrm{Mg}^{+}$ ions by measuring the $|{S}_{1/2},F=2,m=0\ensuremath{\rangle}$ to $|{S}_{1/2},F=3,m=0\ensuremath{\rangle}$ transition (0-0 transition) frequency of the two ground-state hyperfine energy levels. The frequency is measured by rf resonant method in a Paul trap under a magnetic field of about 0.1 mT. The result is $A=\ensuremath{-}596.254$ 248 7(42) MHz. Different frequency shifts and uncertainties are evaluated. The main effect is quadratic Zeeman shift. Since the Paul trap is driven by rf on the electrodes, ac magnetic field can be induced by the rf at the site of the ion. The ac magnetic field causes quadratic Zeeman shift for ion frequency standards and also reduces the coherence time when the ion acts as a quantum bit. Precision measurement of this ac magnetic field can help evaluating the related uncertainty when a single-ion optical clock is established on the trap.We report an experimental determination of the ground-state hyperfine constant $A$ of the $^{25}\mathrm{Mg}^{+}$ ions by measuring the $|{S}_{1/2},F=2,m=0\ensuremath{\rangle}$ to $|{S}_{1/2},F=3,m=0\ensuremath{\rangle}$ transition (0-0 transition) frequency of the two ground-state hyperfine energy levels. The frequency is measured by rf resonant method in a Paul trap under a magnetic field of about 0.1 mT. The result is $A=\ensuremath{-}596.254$ 248 7(42) MHz. Different frequency shifts and uncertainties are evaluated. The main effect is quadratic Zeeman shift. Since the Paul trap is driven by rf on the electrodes, ac magnetic field can be induced by the rf at the site of the ion. The ac magnetic field causes quadratic Zeeman shift for ion frequency standards and also reduces the coherence time when the ion acts as a quantum bit. Precision measurement of this ac magnetic field can help evaluating the related uncertainty when a single-ion optical clock is established on the trap.

Physical Review ANov 21, 201715 citations

rf Spectroscopy with a Single Ba+ Ion

Timo Koerber, M. Schacht, Kristi R. G. Hendrickson +2 more

We have employed the method of shelving to measure Zeeman resonances of a single trapped Ba+ ion. We use optical pumping to place the ion in a selected magnetic sublevel of either the 6S(1/2) ground state or the 5D(3/2) metastable state. The ion is exposed to an rf field, and a probing/shelving mechanism detects whether spin-flip transitions have taken place. We have observed rf transitions with linewidths of 15 Hz, limited by magnetic-field noise. We have also observed the shift in the Zeeman frequency when the ion is illuminated by off-resonant light. A simultaneous measurement of such light shifts in two atomic states of Ba+ will permit a precise determination of the ratio of transition matrix elements.We have employed the method of shelving to measure Zeeman resonances of a single trapped Ba+ ion. We use optical pumping to place the ion in a selected magnetic sublevel of either the 6S(1/2) ground state or the 5D(3/2) metastable state. The ion is exposed to an rf field, and a probing/shelving mechanism detects whether spin-flip transitions have taken place. We have observed rf transitions with linewidths of 15 Hz, limited by magnetic-field noise. We have also observed the shift in the Zeeman frequency when the ion is illuminated by off-resonant light. A simultaneous measurement of such light shifts in two atomic states of Ba+ will permit a precise determination of the ratio of transition matrix elements.

Physical Review LettersMar 26, 200225 citations

Precision measurement of the ground-state hyperfine constant for Be + 9 in a linear Paul trap via magnetically insensitive hyperfine transitions

Zhi-Yuan Ao, Wenli Bai, Qian-Yu Zhang +2 more

Direct measurements of the ground-state magnetically insensitive hyperfine transition | F = 2 , m F = 0 〉 → | F = 1 , m F = 0 〉 of Be + 9 ions have been performed using microwave-driven state transfer. The Be + 9 ions are confined and laser cooled in a linear Paul trap, forming a Coulomb crystal. The transition frequencies have been measured over a magnetic-field range of ± 0.5 mT centered at zero magnetic field and the acquired data were fitted accounting for the high-order Zeeman effect. The hyperfine constant A is determined to be − 625.008 840 ( 35 ) MHz, achieving a relative precision of 5.6 × 10 − 8 .Direct measurements of the ground-state magnetically insensitive hyperfine transition | F = 2 , m F = 0 〉 → | F = 1 , m F = 0 〉 of Be + 9 ions have been performed using microwave-driven state transfer. The Be + 9 ions are confined and laser cooled in a linear Paul trap, forming a Coulomb crystal. The transition frequencies have been measured over a magnetic-field range of ± 0.5 mT centered at zero magnetic field and the acquired data were fitted accounting for the high-order Zeeman effect. The hyperfine constant A is determined to be − 625.008 840 ( 35 ) MHz, achieving a relative precision of 5.6 × 10 − 8 .

Physical Review AApr 10, 20260 citations

Precision measurement of the light shift of Mg+25 ions

W. H. Yuan, Ke Deng, Z. Y. Ma +5 more

We calculate the polarizabilities of the Zeeman sublevels of $^{25}\mathrm{Mg}^{+}$ ion hyperfine ground states. To verify the calculation result, a single $^{25}\mathrm{Mg}^{+}$ ion is trapped in a Paul trap and a microwave resonance measurement is carried out on the ground states with and without the light shift. A good agreement between the experimental result and the calculation result is obtained.We calculate the polarizabilities of the Zeeman sublevels of $^{25}\mathrm{Mg}^{+}$ ion hyperfine ground states. To verify the calculation result, a single $^{25}\mathrm{Mg}^{+}$ ion is trapped in a Paul trap and a microwave resonance measurement is carried out on the ground states with and without the light shift. A good agreement between the experimental result and the calculation result is obtained.

Physical Review ANov 15, 20188 citations

A microwave-optical-pulsing and trapping technique has been employed to observe Lamb-shift (

\mathcal{S}=2{S}_{\frac{1}{2}}\ensuremath{\rightarrow}2{P}_{\frac{1}{2}}

) transitions in

^{6}\mathrm{Li}^{2+}

. Microwave transitions were induced in trapped metastable

{\mathrm{Li}}^{2+}(2{S}_{\frac{1}{2}})

\mathcal{S}=62765\ifmmode\pm\else\textpm\fi{}21

MHz, in good agreement with theory.

The Lamb shift of

{\mathrm{He}}^{+}

is derived from the measured anisotropy in the electric-field-induced quenching radiation of the metastable

2{s}_{\frac{1}{2}}

state. The results demonstrate that the anisotropy method can be applied with high precision to one-electron ion beams, as well as neutral beams. We find a Lamb shift of 14040.2\ifmmode\pm\else\textpm\fi{}2.9 MHz (1 standard deviation). The sources of error and difficulties encountered in working with ion beams are discussed in detail.

Precision measurement of the ground-state hyperfine constant for

^9Be^+

in a linear Paul trap via magnetically insensitive hyperfine transitions

Direct measurements of the ground-state magnetically insensitive hyperfine transition |F=2,mF=0>->|F=1,mF=0> of

^9Be^+

ions have been performed using microwave-driven state transfer. The

^9Be^+

ions are confined and laser-cooled in a linear Paul trap, forming a Coulomb crystal. The transition frequencies have been measured over a magnetic field range of $ \pm 0.5 mT $ centered at zero magnetic field, and the acquired data were fitted accounting for the high-order Zeeman effect. The hyperfine constant A is determined to be -625.008840(35) MHz, achieving a relative precision of $ 5.6 \times 10^{-8}$.

We report an experimental determination of the ground-state hyperfine constant

A

of the

^{25}\mathrm{Mg}^{+}

ions by measuring the $|{S}_{1/2},F=2,m=0\ensuremath{\rangle}$ to $|{S}_{1/2},F=3,m=0\ensuremath{\rangle}$ transition (0-0 transition) frequency of the two ground-state hyperfine energy levels. The frequency is measured by rf resonant method in a Paul trap under a magnetic field of about 0.1 mT. The result is $A=\ensuremath{-}596.254$ 248 7(42) MHz. Different frequency shifts and uncertainties are evaluated. The main effect is quadratic Zeeman shift. Since the Paul trap is driven by rf on the electrodes, ac magnetic field can be induced by the rf at the site of the ion. The ac magnetic field causes quadratic Zeeman shift for ion frequency standards and also reduces the coherence time when the ion acts as a quantum bit. Precision measurement of this ac magnetic field can help evaluating the related uncertainty when a single-ion optical clock is established on the trap.

We calculate the polarizabilities of the Zeeman sublevels of

^{25}\mathrm{Mg}^{+}

ion hyperfine ground states. To verify the calculation result, a single

^{25}\mathrm{Mg}^{+}

ion is trapped in a Paul trap and a microwave resonance measurement is carried out on the ground states with and without the light shift. A good agreement between the experimental result and the calculation result is obtained.