Rydberg Series Excitation of a Single Trapped Ca+40 Ion for Precision Measurements and Principal Quantum Number Scalings

A complete set of spectroscopic data is indispensable when using Rydberg states of trapped ions for quantum information processing. We carried out Rydberg series spectroscopy for n{S}_{1/2}states with 38\ensuremath{\le}n\ensuremath{\le}65and for n{D}_{5/2}states with 37\ensuremath{\le}n\ensuremath{\le}50on a single trapped ^{40}{\mathrm{Ca}}^{+}ion. We determined the ionization energy of 2 870 575.582(15) GHz, 60 times more...