2019
DOI: 10.1103/physreva.99.033424
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Modeling light shifts in optical lattice clocks

Abstract: We present an extended model for the lattice-induced light shifts of the clock frequency in optical lattice clocks, applicable to a wide range of operating conditions. The model extensions cover radial motional states with sufficient energies to invalidate the harmonic approximation of the confining potential. We re-evaluate lattice-induced light shifts in our Yb optical lattice clock with an uncertainty of 6.1 × 10 −18 under typical clock operating conditions.

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Cited by 28 publications
(33 citation statements)
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References 30 publications
(68 reference statements)
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“…While a microscopic model offers the prospect of accuracy below the 10 −18 level, it requires significantly more input information, a potential source of systematic errors in reporting atomic coefficients. Recent work [46] has highlighted this importance by illustrating that different methods of preparing the atomic sample can result in different measurement values of β in Yb. For determining the operational light shift in the SrI clock the thermal model is employed.…”
Section: B Lattice Light Shift Evaluation -Model Uncertaintymentioning
confidence: 99%
“…While a microscopic model offers the prospect of accuracy below the 10 −18 level, it requires significantly more input information, a potential source of systematic errors in reporting atomic coefficients. Recent work [46] has highlighted this importance by illustrating that different methods of preparing the atomic sample can result in different measurement values of β in Yb. For determining the operational light shift in the SrI clock the thermal model is employed.…”
Section: B Lattice Light Shift Evaluation -Model Uncertaintymentioning
confidence: 99%
“…3b). For optimal clock operation, we find an "operationally magic" condition that minimizes sensitivity to trap depth fluctuations [30][31][32] by performing two-lock comparisons for different wavelengths (Fig. 3b) (Appendix E).…”
Section: Self-comparison For Evaluation Of Systematic Shifts Frommentioning
confidence: 99%
“…Several previous studies have analyzed the polarizability and hyperpolarizability of alkaline-earth-like atoms, including 88 Sr, in magic wavelength optical lattices [30][31][32]53]. In their analyses, these studies include the effect of finite atom temperature by Taylor expanding the lattice potential in powers of √ I (I is the lattice intensity) in the vicinity of the magic wavelength [53].…”
Section: Appendix E: Tweezer-induced Light Shiftsmentioning
confidence: 99%
“…3(b)]. For optimal clock operation, we find an "operationally magic" condition that minimizes sensitivity to trap-depth fluctuations [30][31][32] by performing two-lock comparisons for different wavelengths [ Fig. 3(b)] (Appendix E).…”
Section: Self-comparison For Evaluation Of Systematic Shifts Frommentioning
confidence: 99%
“…We further implement a standard interleaved selfcomparison technique [28,29] to evaluate systematic frequency shifts with changing external parametersspecifically, trap depth and wavelength-and find an operational magic condition [30][31][32] where the dependence on trap depth is minimized. We also demonstrate a proof of principle for extending such self-comparison techniques to evaluate single-site-resolved systematic frequency shifts as a function of a changing external parameter.…”
Section: Introductionmentioning
confidence: 99%