Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium (EFTF/IFCS)

Polarizability and magic wavelength of Yb+clock transition2S1/2 →2D3/2

Atish Roy, Subhadeep De, Bindiya Arora, B. K. Sahoo

Published Jul 1, 2017• 1 citation

Publisher

Abstract

Differential static polarizability and black body radiation (BBR) shift for Ytterbium ion (171Yb+) clock transition from ground state2S1/2to metastable state2D3/2corresponding to the wavelength 435.5 nm are calculated accurately for frequency standard applications. The values are found to be −7.5(5) × 10−40Jm2/V and −0.4(1) Hz, respectively, which are well in agreement with pre-available data and more accurate than the previous theoretical results. We further determine the values of dynamic polarizability of these states to find out the magic and tune-out wavelengths for the above mentioned clock transition.

DOI: 10.1109/fcs.2017.8089022

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Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium (EFTF/IFCS)

Polarizability and magic wavelength of Yb+clock transition2S1/2 →2D3/2

Atish Roy, Subhadeep De, Bindiya Arora, B. K. Sahoo

Published Jul 1, 2017• 1 citation

Publisher

Abstract

DOI: 10.1109/fcs.2017.8089022

Related papers

Accurate determination of black-body radiation shift, magic and tune-out wavelengths for the 6S 1/2 5D 3/2 clock transition in Yb +

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arXiv:1710.00339Journal of Physics B Atomic Molecular and Optical PhysicsSep 29, 201723 citations

Dynamic polarizabilities and related properties of clock states of the ytterbium atom

V. A. Dzuba, Andrei Derevianko

We carry out relativistic many-body calculations of the static and dynamic dipole polarizabilities of the ground 6s 2 1 S 0 and the first excited 6s6p 3 P o 0 states of Yb. With these polarizabilities, we compute several properties of Yb relevant to optical lattice clocks operating on the 6s 2 1 S 0 –6s6p 3 P o 0 transition. We determine (i) the first four magic wavelengths of the laser field for which the frequency of the clock transition is insensitive to the laser intensity. While the first magic wavelength is known, we predict the second, the third and the fourth magic wavelengths to be 551 nm, 465 nm and 413 nm. (ii) We re-evaluate the effect of black-body radiation on the frequency of the clock transition, the resulting clock shift at T = 300 K being −1.41(17) Hz. (iii) We compute long-range interatomic van der Waals coefficients (in a.u.) C 6 (6s 2 1 S 0 + 6s 2 1 S 0 ) = 1909(160), C 6 (6s 2 1 S 0 + 6s6p 3 P 0 ) = 2709(338) and C 6 (6s6p 3 P 0 + 6s6p 3 P 0 ) = 3886(360). Finally, we determine the atom-wall interaction coefficients (in a.u.), C 3 (6s 2 1 S 0 ) = 3.34 and C 3 (6s6p 3 P 0 ) = 3.68. We also address and resolve a disagreement between previous calculations of the static polarizability of the ground state.We carry out relativistic many-body calculations of the static and dynamic dipole polarizabilities of the ground 6s 2 1 S 0 and the first excited 6s6p 3 P o 0 states of Yb. With these polarizabilities, we compute several properties of Yb relevant to optical lattice clocks operating on the 6s 2 1 S 0 –6s6p 3 P o 0 transition. We determine (i) the first four magic wavelengths of the laser field for which the frequency of the clock transition is insensitive to the laser intensity. While the first magic wavelength is known, we predict the second, the third and the fourth magic wavelengths to be 551 nm, 465 nm and 413 nm. (ii) We re-evaluate the effect of black-body radiation on the frequency of the clock transition, the resulting clock shift at T = 300 K being −1.41(17) Hz. (iii) We compute long-range interatomic van der Waals coefficients (in a.u.) C 6 (6s 2 1 S 0 + 6s 2 1 S 0 ) = 1909(160), C 6 (6s 2 1 S 0 + 6s6p 3 P 0 ) = 2709(338) and C 6 (6s6p 3 P 0 + 6s6p 3 P 0 ) = 3886(360). Finally, we determine the atom-wall interaction coefficients (in a.u.), C 3 (6s 2 1 S 0 ) = 3.34 and C 3 (6s6p 3 P 0 ) = 3.68. We also address and resolve a disagreement between previous calculations of the static polarizability of the ground state.

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Wuhan University Journal of Natural SciencesSep 12, 20191 citation

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We present an experimental study of the lattice-induced light shifts on the (1)S(0) --> (3)P(0) optical clock transition (nu(clock) approximately 518 THz) in neutral ytterbium. The "magic" frequency nu(magic) for the 174Yb isotope was determined to be 394 799 475(35) MHz, which leads to a first order light shift uncertainty of 0.38 Hz. We also investigated the hyperpolarizability shifts due to the nearby 6s6p(3)P(0) --> 6s8p(3)P(0), 6s8p(3)P(2), and 6s5f(3)F(2) two-photon resonances at 759.708, 754.23, and 764.95 nm, respectively. By measuring the corresponding clock transition shifts near these two-photon resonances, the hyperpolarizability shift was estimated to be 170(33) mHz for a linear polarized, 50 microK deep, lattice at the magic wavelength. These results indicate that the differential polarizability and hyperpolarizability frequency shift uncertainties in a Yb lattice clock could be held to well below 10(-17).We present an experimental study of the lattice-induced light shifts on the (1)S(0) --> (3)P(0) optical clock transition (nu(clock) approximately 518 THz) in neutral ytterbium. The "magic" frequency nu(magic) for the 174Yb isotope was determined to be 394 799 475(35) MHz, which leads to a first order light shift uncertainty of 0.38 Hz. We also investigated the hyperpolarizability shifts due to the nearby 6s6p(3)P(0) --> 6s8p(3)P(0), 6s8p(3)P(2), and 6s5f(3)F(2) two-photon resonances at 759.708, 754.23, and 764.95 nm, respectively. By measuring the corresponding clock transition shifts near these two-photon resonances, the hyperpolarizability shift was estimated to be 170(33) mHz for a linear polarized, 50 microK deep, lattice at the magic wavelength. These results indicate that the differential polarizability and hyperpolarizability frequency shift uncertainties in a Yb lattice clock could be held to well below 10(-17).

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The polarizabilities of the three lowest states of the beryllium atom are determined from a large basis configuration interaction calculation. The polarizabilities of the $2{s}^{2}$ ${}^{1}{S}^{e}$ ground state ( $37.73$ ${a}_{0}^{3}$ ) and the $2s2p$ ${}^{3}{P}_{0}^{o}$ metastable state ( $39.04$ ${a}_{0}^{3}$ ) are found to be very similar in size and magnitude. This leads to an anomalously small blackbody radiation shift at $300$ K of $\ensuremath{-}$ $0.018(4)$ Hz for the $2{s}^{2}$ ${}^{1}{S}^{e}$ -- $2s2p$ ${}^{3}{P}_{0}^{o}$ clock transition. Magic wavelengths for simultaneous trapping of the ground and metastable states are also computed.The polarizabilities of the three lowest states of the beryllium atom are determined from a large basis configuration interaction calculation. The polarizabilities of the $2{s}^{2}$ ${}^{1}{S}^{e}$ ground state ($37.73$${a}_{0}^{3}$) and the $2s2p$ ${}^{3}{P}_{0}^{o}$ metastable state ($39.04$${a}_{0}^{3}$) are found to be very similar in size and magnitude. This leads to an anomalously small blackbody radiation shift at $300$ K of $\ensuremath{-}$$0.018(4)$ Hz for the $2{s}^{2}$ ${}^{1}{S}^{e}$--$2s2p$ ${}^{3}{P}_{0}^{o}$ clock transition. Magic wavelengths for simultaneous trapping of the ground and metastable states are also computed.

Physical Review ANov 22, 201010 citations

We present measurements of three distinctive state-dependent wavelengths for the $^{1}S_{0}\text{\ensuremath{-}}^{3}P_{0}$ clock transition in

{}^{\text{174}}\text{Yb}

atoms. Specifically, we determine two magic wavelengths at 652.281(21) and

542.502\phantom{\rule{0.16em}{0ex}}05(19)\phantom{\rule{0.16em}{0ex}}\text{THz}

, where the differential light shift on the $^{1}S_{0}\text{\ensuremath{-}}^{3}P_{0}$ clock transition vanishes, and one tune-out wavelength at

541.8325(5)\phantom{\rule{0.16em}{0ex}}\text{THz}

, where the polarizability of the

^{1}S_{0}

ground state exhibits a zero crossing. The two magic wavelengths are identified by spectroscopically interrogating cold

{}^{\text{174}}\text{Yb}

atoms on the clock transition in a one-dimensional optical lattice. The ground-state tune-out wavelength is determined via a parametric heating scheme. With a simple empirical model, we then extrapolate the ground- and excited-state polarizability over a broad range of wavelengths in the visible spectrum.

The polarizabilities of the three lowest states of the beryllium atom are determined from a large basis configuration interaction calculation. The polarizabilities of the

2{s}^{2}

{}^{1}{S}^{e}

ground state (

37.73

{a}_{0}^{3}

) and the

2s2p

{}^{3}{P}_{0}^{o}

metastable state (

39.04

{a}_{0}^{3}

) are found to be very similar in size and magnitude. This leads to an anomalously small blackbody radiation shift at

300

K of $\ensuremath{-}$

0.018(4)

Hz for the

2{s}^{2}

{}^{1}{S}^{e}

2s2p

{}^{3}{P}_{0}^{o}

clock transition. Magic wavelengths for simultaneous trapping of the ground and metastable states are also computed.