Precise determination of the isotope shift of ${}^{88}$Sr - ${}^{87}$Sr optical lattice clock by sharing perturbations

Abstract

We report on the isotope shift between ${}^{88}$Sr and ${}^{87}$Sr on the ${}^1{S}_0-{}^3{P}_0$ clock transitions. The interleaved operation of an optical lattice clock with two isotopes allows the canceling out of common perturbations, such as the quadratic Zeeman shift, the clock-light shift, and the blackbody radiation shift. The isotope shift is determined to be 62 188 134.004(10) Hz, where the major uncertainty is introduced by the collisional shift that is distinct for each isotope. Our result allows us to determine the frequency of ${}^{88}$Sr-${}^{87}$Sr optical lattice clocks with a fractional uncertainty of $2\times 10^{-17}$. The scheme is generally applicable for measuring the isotope shift with significantly reduced uncertainty.

15 pages, 4 figures

References in corpus (7)

• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• Real-time geopotentiometry with synchronously linked optical lattice clocks
• High accuracy correction of blackbody radiation shift in an optical lattice clock
• Improved frequency measurement of a one-dimensional optical lattice clock with a spin-polarized fermionic ${}^{87}$Sr isotope
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Cited by in corpus (8)

• High precision differential clock comparisons with a multiplexed optical lattice clock
• Observation of non-linearity of generalized King plot in the search for new boson
• A terahertz vibrational molecular clock with systematic uncertainty at the $10^{-14}$ level
• The ${}^1{\mathrm{S}}_0$-${}^3{\mathrm{P}}_2$ magnetic quadrupole transition in neutral strontium
• Isotope shifts for ${}^1{S}_0-{}^3{P}_{0,1}^o$ Yb lines from multi-configuration Dirac-Hartree-Fock calculations
• Violation of the equivalence principle induced by oscillating rest mass and transition frequency, and its detection in atom interferometers
• Photoionization cross sections of ultracold ${}^{88}$Sr in ${}^1$P${}_1$ and ${}^3$S${}_1$ states at 390 nm and the resulting blue-detuned magic wavelength optical lattice clock constraints
• The dual King relation