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Physical Review A

Computation of correlation effects on the parity-nonconserving electric-dipole transition in atomic ytterbium

Bhanu Pratap Das

Published Aug 1, 1997• 25 citations
Publisher

Abstract

A high-precision experiment to measure parity-nonconservation in atomic Yb has been proposed recently [D. De Mille, Phys. Rev. Lett. 74, 4165 (1995)]. We use a relativistic configuration-interaction approach to highlight the importance of correlation effects in the ${6s}^{2}{(}^{1}{S}_{0})\ensuremath{\rightarrow}{6s5d(}^{3}{D}_{1})$ parity-nonconserving electric transition amplitude for Yb. Our result shows that this transition amplitude is dramatically altered by the strong mixing between some of the configurations that make up the odd-parity ${6s6p(}^{1}{P}_{1})$ atomic state.

DOI
10.1103/physreva.56.1635

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Chinese Physics B•Jun 1, 2018•8 citations
A high-precision experiment to measure parity-nonconservation in atomic Yb has been proposed recently [D. De Mille, Phys. Rev. Lett. 74, 4165 (1995)]. We use a relativistic configuration-interaction approach to highlight the importance of correlation effects in the 6s2(1S0)\ensuremath→6s5d(3D1){6s}^{2}{(}^{1}{S}_{0})\ensuremath{\rightarrow}{6s5d(}^{3}{D}_{1})6s2(1S0​)\ensuremath→6s5d(3D1​) parity-nonconserving electric transition amplitude for Yb. Our result shows that this transition amplitude is dramatically altered by the strong mixing between some of the configurations that make up the odd-parity 6s6p(1P1){6s6p(}^{1}{P}_{1})6s6p(1P1​) atomic state.
We report the forbidden $6{s}^{2}\phantom{\rule{0.2em}{0ex}}^{1}S_{0}\ensuremath{\rightarrow}6s5d\phantom{\rule{0.2em}{0ex}}^{3}D_{1}$ magnetic-dipole transition amplitude computed using multireference Fock-space coupled-cluster theory. Our computed transition matrix element $(1.34\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}){\ensuremath{\mu}}_{B}$ is in excellent agreement with the experimental value $(1.33\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}4}){\ensuremath{\mu}}_{B}$. This value in combination with other known quantities will be helpful in determining the parity-nonconserving amplitude for the $6{s}^{2}\phantom{\rule{0.2em}{0ex}}^{1}S_{0}\ensuremath{\rightarrow}6s5d\phantom{\rule{0.2em}{0ex}}^{3}D_{1}$ transition in atomic Yb. To our knowledge, this calculation is the most accurate to date, and can be very important in the search for physics beyond the standard model. We further report the $6s6p\phantom{\rule{0.2em}{0ex}}^{3}P_{0}\ensuremath{\rightarrow}6s6p\phantom{\rule{0.2em}{0ex}}^{1}P_{1}$ and $6s5d\phantom{\rule{0.2em}{0ex}}^{3}D_{1}\ensuremath{\rightarrow}6s6p\phantom{\rule{0.2em}{0ex}}^{3}P_{0}$ transition matrix elements, which are also in good agreement with the earlier theoretical estimates.
We calculate and measure the magic wavelengths for the $6{s}^{2}^{1}S_{0}\ensuremath{-}6s6p\phantom{\rule{0.16em}{0ex}}^{3}P_{1}$ intercombination transition of the neutral ytterbium atom. The calculation is performed with the ab initio configuration interaction +++ all-order method. The measurement is done with laser spectroscopy on cold atoms in an optical dipole trap. The magic wavelengths are determined to be 1035.68(4) nm for the $\ensuremath{\pi}$ transition $(\mathrm{\ensuremath{\Delta}}m=0)$ and 1036.12(3) nm for the $\ensuremath{\sigma}$ transitions $(|\mathrm{\ensuremath{\Delta}}m|=1)$ in agreement with the calculated values. Laser cooling on the narrow intercombination transition could achieve better results for atoms in an optical dipole trap when the trap wavelength is tuned to near the magic wavelength.
We evaluate the electric-dipole and electric-quadrupole static and dynamic polarizabilities for the 6s21S06{s}^{2\phantom{\rule{0.16em}{0ex}}1}{S}_{0}6s21S0​, 6s6p3P0o6s6p{\phantom{\rule{0.16em}{0ex}}}^{3}{P}_{0}^{o}6s6p3P0o​, and 6s6p3P1o6s6p{\phantom{\rule{0.16em}{0ex}}}^{3}{P}_{1}^{o}6s6p3P1o​ states and estimate their uncertainties. A first-principles relativistic method is developed for an accurate calculation of the van der Waals coefficients of dimers involving excited-state atoms with strong decay channel to the ground state. This method is used for evaluation of the long-range interaction coefficients of particular experimental interest, including the C6{C}_{6}C6​ coefficients for the Yb-Yb 1S0+3P0,1o{}^{1}{S}_{0}+{\phantom{\rule{0.16em}{0ex}}}^{3}{P}_{0,1}^{o}1S0​+3P0,1o​ and 3P0o+3P0o{}^{3}{P}_{0}^{o}+{\phantom{\rule{0.16em}{0ex}}}^{3}{P}_{0}^{o}3P0o​+3P0o​ dimers and C8{C}_{8}C8​ coefficients for the 1S0+1S0{}^{1}{S}_{0}+{\phantom{\rule{0.16em}{0ex}}}^{1}{S}_{0}1S0​+1S0​ and 1S0+3P1o{}^{1}{S}_{0}+{\phantom{\rule{0.16em}{0ex}}}^{3}{P}_{1}^{o}1S0​+3P1o​ dimers.
Two-photon Doppler-free spectroscopy of the 6s2  1S0→6s23s  1S06s^2\;^1S_0 \rightarrow 6s23s\;^1S_06s21S0​→6s23s1S0​ Rydberg transition for quantum sensing in ytterbium
Here we report atomic structure calculations and experimental observations of the two-photon 6s2  1S0→6s23s  1S06s^2\;^1S_0 \rightarrow 6s23s\;^1S_06s21S0​→6s23s1S0​ transition in Yb. The unique level structure of Yb places the 6s6p  1P16s6p\;^1P_16s6p1P1​ state's energy at ≈ ⁣49.7%\approx\!49.7\%≈49.7% of the ionization energy, which facilitates two-photon Doppler-free excitation of the 6s23s  1S06s23s\;^1S_06s23s1S0​ Rydberg state from the 6s2  1S06s^2\;^1S_06s21S0​ ground state at a relatively low optical intensity. This J=0→J=0J= 0 \rightarrow J=0J=0→J=0 transition is immune to first-order Zeeman and electric quadrupole shifts, has reduced sensitivity to higher-order Zeeman shifts, and is further predicted to have relatively low sensitivity to density shifts. Using configuration interaction theory, we compute relevant properties of the 6s23s  1S06s23s\;^1S_06s23s1S0​ Rydberg state for sensing, including the C6C_6C6​ coefficient, dc polarizability, blackbody radiation (BBR) shift, and BBR depopulation rate. As a first experimental step, we demonstrate two-photon Doppler-free spectroscopy of the 6s2  1S0→6s23s  1S06s^2\;^1S_0 \rightarrow 6s23s\;^1S_06s21S0​→6s23s1S0​ transition. From our experimental spectra, we estimate the natural linewidth (lifetime) of the 6s23s  1S06s23s\;^1S_06s23s1S0​ state to be 90 kHz (1.8 μμμs). We believe this transition, or other 6s2  1S0→6sns  1S06s^2\;^1S_0 \rightarrow 6sns\;^1S_06s21S0​→6sns1S0​ transitions in Yb with n≈23n\approx23n≈23, may find use in a variety of sensing applications, potentially including a two-photon clock, electrometer, or BBR thermometer.
Lifetimes of 21 excited states in atomic Yb were measured using time-resolved fluorescence detection following pulsed laser excitation. The lifetime of the 4${\mathit{f}}^{14}5d65d65d6{\mathit{s}}^{\mathrm{}3}$D1{\mathit{D}}_{1}D1​ state, which is of particular importance for a proposed study of parity nonconservation in atoms, was measured to be 380(30) ns. \textcopyright{} 1996 The American Physical Society.
We determine the static values of the scalar and tensor dipole polarizabilities of the ground, 6s6p 3 P 0 o , and 6s6p 3 P 1 o states of the Yb atom. These results can be useful in many experiments undertaken using this atom. We employed a combined configuration interaction (CI) method and a second-order many-body perturbation theory (MBPT) to evaluate energies and electric dipole (E1) matrix elements of many low-lying excited states of the above atom. These values are compared with the other available theoretical calculations and experimental values. By combining these E1 matrix elements with the experimental excitation energies, we estimate the dominant valence correlation contributions to the dipole polarizabilities of the above states. The core contribution is obtained from the finite field approach. We also compare these values with the other theoretical results as there are no precise experimental values that are available for these properties.