Blackbody radiation shift assessment for a lutetium ion clock

Arnold, K. J.; Kaewuam, R.; Roy, Amit; Tan, Ting Rei; Barrett, M. D.

doi:10.1038/s41467-018-04079-x

Cited by 56 publications

(43 citation statements)

References 30 publications

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“…While interrogating atoms in a cryogenic environment has successfully reduced the BBR shift in a Hg + clock [11], a Cs microwave clock [12], and Sr and Yb optical lattice clocks [2,13], a number of atoms have smaller sensitivities to BBR, which can enable simpler approaches and improved accuracy. These include optical lattice clocks based on Hg, Mg, Tm, and Cd [14][15][16][17][18][19], ion clocks with Al + , Yb + , In + , and Lu + [3,[20][21][22], Th 3+ nuclear clock [23,24], and highly charged ion clocks [25,26].…”

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confidence: 99%

Narrow-line Cooling and Determination of the Magic Wavelength of Cd

et al. 2019

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We experimentally and theoretically determine the magic wavelength of the (5s 2 ) 1 S0−(5s5p) 3 P0 clock transition of 111 Cd to be 419.88(14) nm and 420.1(7) nm. To perform Lamb-Dicke spectroscopy of the clock transition, we use narrow-line laser cooling on the 1 S0− 3 P1 transition to cool the atoms to 6 µK and load them into an optical lattice. Cadmium is an attractive candidate for optical lattice clocks because it has a small sensitivity to blackbody radiation and its efficient narrow-line cooling mitigates higher order light shifts. We calculate the blackbody shift, including the dynamic correction, to be fractionally 2.83(8)×10 −16 at 300 K, an order of magnitude smaller than that of Sr and Yb. We also report calculations of the Cd 1 P1 lifetime and the ground state C6 coefficient.

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confidence: 99%

Narrow-line Cooling and Determination of the Magic Wavelength of Cd

et al. 2019

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“…In addition, by making the efforts for a larger number of molecules and more data accumulations, the improvement of the precision by two-three orders of magnitude is expected in future experiments. Though the uncertainty of the calculation of BBR shift gives the biggest systematic error in our results, the BBR shift coefficients can be experimentally determined with good accuracy by the measurements in the long-wavelength infrared fields like CO 2 lasers, as performed for the ion clock transition 20 .…”

Section: Discussionmentioning

confidence: 75%

Measurement of the variation of electron-to-proton mass ratio using ultracold molecules produced from laser-cooled atoms

2019

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Experimental techniques to manipulate cold molecules have seen great development in recent years. The precision measurements of cold molecules are expected to give insights into fundamental physics. Here we use a rovibrationally pure sample of ultracold KRb molecules to improve the measurement on the stability of electron-to-proton mass ratio . The measurement is based upon a large sensitivity coefficient of the molecular spectroscopy, which utilizes a transition between a nearly degenerate pair of vibrational levels each associated with a different electronic potential. Observed limit on temporal variation of μ is , which is better by a factor of five compared with the most stringent laboratory molecular limits to date. Further improvements should be straightforward, because our measurement was only limited by statistical errors.

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“…Hence, matrix elements have a typical scale of Θ(J). For the 1 S 0 -to-3 D 2 clock transition in 176 Lu + , the magic rf at which micromotion shifts vanish is Ω rf ∼ 2π × 33 MHz [4], and the calculated value for Θ…”

Section: Theorymentioning

confidence: 79%

Oscillating quadrupole effects in high-precision metrology

et al. 2019

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The influence of oscillating quadrupole fields on atomic energy levels is examined theoretically and general expressions for the quadrupole matrix elements are given. The results are relevant to any ion-based clock in which one of the clock states supports a quadrupole moment. Clock shifts are estimated for 176 Lu + and indicate that coupling to the quadrupole field would not be a limitation to clock accuracy at the 10 −19 level. Nevertheless, a method is suggested that would allow this shift to be calibrated. This method utilises a resonant quadrupole coupling that enables the quadrupole moment of the atom to be measured. A proof-of-principle demonstration is given using 138 Ba + , in which the quadrupole moment of the D 5/2 state is estimated to be Θ = 3.229(89)ea 2 0 .In a recent paper [1], the effects of oscillating magnetic fields in high precision metrology were explored. In that work it was shown that magnetic fields driven by the oscillating potential of a Paul trap could have a significant influence on high precision measurements and optical atomic clocks. Given that the oscillating potential itself provides a strong quadrupole field, it is of interest to consider the effects this might have on energy levels supporting a non-zero quadrupole moment.The interaction of external electric-field gradients with the quadrupole moment of the atom is described by tensor operators of rank two [2]. As for ac magnetic fields, the interaction couples levels primarily within the same fine-structure manifold. However, the rank-2 operators provide a coupling between levels having ∆F = 0, ±1, ±2 and ∆m = 0, ±1, ±2. In this paper, a general expression for the interaction matrix elements is derived and the various level shifts and effects that can occur are considered. These results can be readily applied to any system. For the purposes of illustration, fractional frequency shifts for three clock transitions of 176 Lu + are estimated for experimentally relevant parameter values. I. THEORYThe notations and conventions used here follow that used in [2]. The principal-axis (primed) frame (x , y , z ) is one in which the electric potential in the neighbourhood of the atom has the simple form Φ(x , y , z ) = A(x 2 + y 2 − 2z 2 ) + (x 2 − y 2 ), (1) while a laboratory (unprimed) frame (x, y, z) is one in which the magnetic field is oriented along the z axis. Using this form of the potential, the time-dependent potential associated with an ideal linear Paul trap has A = 0 and that for the ideal quadrupole trap has = 0, with the time-dependence provided by a cos(Ω rf t) factor, where Ω rf is the trap drive frequency.In the principal-axis frame, the spherical components of ∇E (2) are.(2) and the interaction H Q has the simple formStates | JF m defined in the principal-axis frame and states | JF µ defined in the laboratory frame are related bywith the inverse relationwhere ω denotes a set of Euler angles {α, β, γ} taking the principal-axis frame to the laboratory frame defined with the same convention used in [2]. Specifically, start...

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Blackbody radiation shift assessment for a lutetium ion clock

Cited by 56 publications

References 30 publications

Narrow-line Cooling and Determination of the Magic Wavelength of Cd

Narrow-line Cooling and Determination of the Magic Wavelength of Cd

Measurement of the variation of electron-to-proton mass ratio using ultracold molecules produced from laser-cooled atoms

Oscillating quadrupole effects in high-precision metrology

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