Physical Review A

Precision measurement of the light shift of Mg+25 ions

W. H. Yuan, Ke Deng, Z. Y. Ma, H. Che, Zhilin Xu, Hao-Xiang Liu, Jie Zhang, Z. H. Lu

Published Nov 15, 2018• 8 citations

Abstract

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.

DOI: 10.1103/physreva.98.052507

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Physical Review A

Precision measurement of the light shift of Mg+25 ions

W. H. Yuan, Ke Deng, Z. Y. Ma, H. Che, Zhilin Xu, Hao-Xiang Liu, Jie Zhang, Z. H. Lu

Published Nov 15, 2018• 8 citations

Publisher

Abstract

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.

DOI: 10.1103/physreva.98.052507

Related papers

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.

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Marvin Leventhal

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Zetian Xu, Xiaoyi Zeng, Xiaohui Shi +4 more

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European Frequency and Time ForumJun 1, 20140 citations

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}^{+}

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.

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}$.

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.