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We report a measurement of the radiative lifetime of the $^2F_{7/2}$ level of$^{171}$Yb$^+$ that is coupled to the $^2S_{1/2}$ ground state via an electricoctupole transition. The radiative lifetime is determined to be $4.98(25)\times10^7$ s, corresponding to 1.58(8) years. The result reduces the relativeuncertainty in this exceptionally long excited state lifetime by one order ofmagnitude with respect to previous experimental estimates. Our method is basedon the coherent excitation of the corresponding transition and avoidslimitations through competing decay processes. The explicit dependence on thelaser intensity is eliminated by simultaneously measuring the resonant Rabifrequency and the induced quadratic Stark shift. Combining the result withinformation on the dynamic differential polarizability permits a calculation ofthe transition matrix element to infer the radiative lifetime.

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