Precision measurement of lifetime and branching ratios of the 4𝑓 13 5𝑑6𝑠 1 [5/2] 5/2 state in Yb + ions
We report spectroscopic and time-resolved experimental observations to characterize the [Xe]4𝑓 13 ( 2 𝐹$^𝑜_{5/2}$)5𝑑6𝑠( 1 𝐷) 1 [5/2]$^𝑜_{5/2}$ state in 172 Yb + ions. We access this state from the metastable 4𝑓 14 5𝑑( 2 𝐷 3/2,5/2 ) manifold and observe an unexpectedly long lifetime of 𝜏 = 37.9(9) µs that allows visible Rabi oscillations and resolved-sideband spectroscopy. Using a combination of coherent population dynamics, high-fidelity detection and heralded state preparation, and optical pumping methods, we measure the branching ratios to the 2 𝐷 3/2 , 2 𝐷 5/2 , and 2 𝑆 1/2 states to be 0.359(2), 0.639(2), and 0.0023(16), respectively. The branching ratio to the 4𝑓 13 6𝑠 2 ( 2 𝐹 7/2 ) is compatible with zero within our experimental resolution. We also report measurements of Landé 𝑔-factor of the 1 [5/2]$^𝑜_{5/2}$ state. Further, the branching ratio of the 2 𝐷 5/2 to 2 𝑆 1/2 decay in 172 Yb + was measured to be 0.188(3), improving its relative uncertainty by an order of magnitude. Our measurements provide experimental benchmarks for better understanding the atomic structure of Yb + ions, which still lacks accurate numerical descriptions, and the use of high-lying excited states for partial detection and qubit manipulation in the omg architecture.