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.

arXiv comment15 pages, 4 figures

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Cited by in corpus (14)

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• Precision measurement of atomic isotope shifts using a two-isotope entangled state
• Isotope-shift spectroscopy of the ${}^1{S}_0\to {}^3{P}_1$ and ${}^1{S}_0\to {}^3{P}_0$ transitions in strontium
• 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
• The frequency of the ultranarrow ${}^1{\text{S}}_0-{}^3{\text{P}}_2$ transition in ${}^{87}\text{Sr}$
• 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