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arXiv:2011.06759 · Physical Review A

Magic wavelengths of the Yb (6s2 S01–6s6p P13) intercombination transition

T. A. Zheng, Yutong Yang, Marianna S. Safronova, Marianna S. Safronova, Zhuan-Xian Xiong, Tian Xia, Zheng‐Tian Lu

Published Dec 2, 2020• 9 citations
arXivHTMLPDF

Abstract

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.

DOI
10.1103/physreva.102.062805

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•Aug 1, 1999•0 citations
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 \ensuremathπ\ensuremath{\pi}\ensuremathπ transition (\ensuremathΔm=0)(\mathrm{\ensuremath{\Delta}}m=0)(\ensuremathΔm=0) and 1036.12(3) nm for the \ensuremathσ\ensuremath{\sigma}\ensuremathσ transitions (∣\ensuremathΔm∣=1)(|\mathrm{\ensuremath{\Delta}}m|=1)(∣\ensuremathΔm∣=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.
Predicting magic wavelengths accurately requires precise knowledge of electric dipole matrix elements of nearby atomic transitions. As a result, measurements of magic wavelengths allow us to test theoretical predictions for the matrix elements that frequently cannot be probed by any other methods. Here, we calculate and measure a magic wavelength near 473 nm of the $5{s}^{2}\phantom{\rule{0.16em}{0ex}}^{1}{S}_{0}\ensuremath{-}5s5p\phantom{\rule{0.16em}{0ex}}^{3}{P}_{1}$ intercombination transition of 88Sr^{88}\mathrm{Sr}88Sr. Experimentally, we find 473.371(6) nm for $\mathrm{\ensuremath{\Delta}}m=0$ ($\ensuremath{\pi}$ transition) and 473.117(15) nm for $\mathrm{\ensuremath{\Delta}}m=\ensuremath{-}1$ (${\ensuremath{\sigma}}^{\ensuremath{-}}$ transition). Theoretical calculations yield 473.375(22) and 473.145(20) nm, respectively. Determining magic wavelengths nearby the dominant 461-nm probe transition of 88Sr^{88}\mathrm{Sr}88Sr holds promise for state insensitive interfacing of strontium atoms and nanophotonic devices with a narrow band of operating wavelengths. Furthermore, the 3P1^{3}{P}_{1}3P1​ polarizability is dominated by the contributions to the 5p23P5{p}^{2}\phantom{\rule{0.16em}{0ex}}^{3}P5p23P levels, and excellent agreement of theory and experiment validates both theoretical values of these matrix elements and estimates of their uncertainties.
Optical frequency measurements of the intercombination line $(6{s}^{2})\phantom{\rule{0.16em}{0ex}}^{1}S_{0}\ensuremath{-}(6s6p)\phantom{\rule{0.16em}{0ex}}^{3}P_{1}$ in the isotopes of ytterbium are carried out with the use of sub-Doppler fluorescence spectroscopy on an atomic beam. A dispersive signal is generated to which a master laser is locked, while frequency counting of an auxiliary beat signal is performed via a frequency comb referenced to a hydrogen maser. The relative separations between the lines are used to evaluate the 3P1^{3}P_{1}3P1​-level magnetic dipole and electric quadrupole constants for the fermionic isotopes. The center of gravity for the 3P1^{3}P_{1}3P1​ levels in 171Yb^{171}\mathrm{Yb}171Yb and 173Yb^{173}\mathrm{Yb}173Yb are also evaluated, where we find significant disagreement with previously reported values. These hyperfine constants provide a valuable testbed for atomic many-body computations in ytterbium.
We present measurements of three distinctive state-dependent wavelengths for the $^{1}S_{0}\text{\ensuremath{-}}^{3}P_{0}$ clock transition in 174Yb{}^{\text{174}}\text{Yb}174Yb atoms. Specifically, we determine two magic wavelengths at 652.281(21) and 542.50205(19)THz542.502\phantom{\rule{0.16em}{0ex}}05(19)\phantom{\rule{0.16em}{0ex}}\text{THz}542.50205(19)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)THz541.8325(5)\phantom{\rule{0.16em}{0ex}}\text{THz}541.8325(5)THz, where the polarizability of the 1S0^{1}S_{0}1S0​ ground state exhibits a zero crossing. The two magic wavelengths are identified by spectroscopically interrogating cold 174Yb{}^{\text{174}}\text{Yb}174Yb 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.
We report the magneto-optical trapping of ytterbium atoms using the 6s2 1S0-6s6p 3P1 intercombination transition. The magneto-optical trap is continuously loaded from an atomic beam decelerated by a Zeeman-tuned atomic-beam slower operated at the 6s2 1S0-6s6p 1P1 transition. Among seven stable isotopes of ytterbium, six isotopes of 170Yb, 171Yb, 172Yb, 173Yb, 174Yb, and 176Yb are successfully trapped. The number and density of the trapped atoms are about 108 and 1011 cm-3, respectively. The temperature of atoms is estimated to be about 20 μK from the time-of-flight measurement. The decay time of the trapped atoms after stopping the loading of atoms is about 3 s.