Polarizability assessments of ion-based optical clocks

Abstract

It is shown that the dynamic differential scalar polarisability of the $S_{1/2}-D_{5/2}$ transition in ${}^{138}$Ba${}^{+}$ can be determined to an inaccuracy below $0.5\%$ across a wide wavelength range ($\lambda >700\mathrm{nm}$). This can be achieved using measurements for which accurate determination of laser intensity is not required, and most of the required measurements are already in the literature. Measurement of a laser-induced ac-stark shift of the clock transition would then provide an \emph{in situ} measurement of the laser's intensity to the same $0.5\%$ level of inaccuracy, which is not easily achieved by other means. This would allow accurate polarisability measurements for clock transitions in other ions, through comparison with ${}^{138}$Ba${}^{+}$. The approach would be equally applicable to Sr${}^{+}$ and Ca${}^{+}$, with the latter being immediately applicable to Al${}^{+}$/Ca${}^{+}$ quantum logic clocks.

5 pages and two figures

References in corpus (10)

• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Development of a configuration-interaction + all-order method for atomic calculations
• Blackbody radiation shift in a 43Ca+ ion optical frequency standard
• Precision measurement of the branching fractions of the 4P3/2 decay of Ca II
• Theoretical study of lifetimes and polarizabilities in Ba+
• Suppressing inhomogeneous broadening in a lutetium multi-ion optical clock
• Precision measurement of branching fractions of ${}^{138}$Ba${}^{+}$: Testing many body theories below one percent level
• Measurements of the branching ratios for $6P_{1/2}$ decays in ${}^{138}$Ba${}^{+}$
• Dynamic polarizability measurements in ${}^{176}$Lu${}^{+}$
• Blackbody radiation shift of the 27Al+ 1S0 - 3P0 transition

Cited by in corpus (10)

• Lifetime of the ${}^2{F}_{7/2}$ level in Yb${}^{+}$ for spontaneous emission of electric octupole radiation
• Measurements of the branching ratios for $6P_{1/2}$ decays in ${}^{138}$Ba${}^{+}$
• Quadruply Ionized Barium as a Candidate for a High-Accuracy Optical Clock
• Branching fractions for $P_{3/2}$ decays in Ba${}^{+}$
• Magic wavelength of the ${}^{138}$Ba${}^{+}$ $6s{}^2{S}_{1/2}-5d{}^2{D}_{5/2}$ clock transition
• A scheme for quantum-logic based transfer of accuracy in polarizability measurement for trapped ions using a moving optical lattice
• Measurement of the Ra${}^{+}$ $7p$ ${}^2{P}_{3/2}$ state lifetime
• Deterministic preparation of a dual-species two-ion crystal
• Measurement of the Differential Static Scalar Polarizability of the ${}^{88}$Sr${}^{+}$ Clock Transition
• Zero crossings of the differential scalar polarizability of Ba${}^{+}$ clock transition