Lifetime of the ${}^2{F}_{7/2}$ level in Yb${}^{+}$ for spontaneous emission of electric octupole radiation

Abstract

We report a measurement of the radiative lifetime of the ${}^2{F}_{7/2}$ level of ${}^{171}$Yb${}^{+}$ that is coupled to the ${}^2{S}_{1/2}$ ground state via an electric octupole transition. The radiative lifetime is determined to be $9.96(50)\times 10^7$~s, corresponding to 3.16(16) years. The result reduces the relative uncertainty in this exceptionally long excited state lifetime by one order of magnitude with respect to previous experimental estimates. Our method is based on the coherent excitation of the corresponding transition and avoids limitations through competing decay processes. The explicit dependence on the laser intensity is eliminated by simultaneously measuring the resonant Rabi frequency and the induced quadratic Stark shift. Combining the result with information on the dynamic differential polarizability permits a calculation of the transition matrix element to infer the radiative lifetime.

5 pages, 2 figures

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• Constraints on violation of Lorentz symmetry with clock-comparison redshift experiments
• Orders-of-magnitude improvement in precision spectroscopy of an inner-shell orbital clock transition in neutral ytterbium
• Quantum Sensing Using Atomic Clocks for Nuclear and Particle Physics
• Nuclear spin quenching of the ${}^2{S}_{1/2}\to {}^2{F}_{7/2}$ electric octupole transition in ${}^{173}$Yb${}^{+}$
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• Precision spectroscopy in Yb+ ions