Physical Review A
Measurement of the unresolved Be+9 P3/22 hyperfine splittings using quantum-interference-enhanced state-selective repump spectroscopy
David Fairbank, Alessandro L. Banducci, Robert Gunkelman, Jacob VanArsdale, Samuel M. Brewer
Abstract
Hyperfine splittings of the $^{2}P_{3/2}$ manifold in $^{9}\mathrm{Be}^{+}$ were measured directly using a single laser-cooled ion stored in a radiofrequency Paul trap. As the hyperfine structure is unresolved beneath the natural linewidth of the transition, manipulation of the initial state, polarization, and final-state populations was used to preferentially detect scattering events through specific intermediate excited states. While quantum interference effects typically complicate the modeling of unresolved measurement lineshapes, in this work quantum interference helped to suppress extraneous scattering components. The hyperfine splittings between the $|^{2}P_{3/2},F=3\ensuremath{\rangle}$ state and the $|^{2}P_{3/2},F=2\ensuremath{\rangle}$ and $|^{2}P_{3/2},F=1\ensuremath{\rangle}$ states were measured to be $\mathrm{\ensuremath{\Delta}}{\ensuremath{\nu}}_{32}=0.801(56)$ MHz and $\mathrm{\ensuremath{\Delta}}{\ensuremath{\nu}}_{31}=5.050(83)$ MHz, respectively.