Extending Phenomenological Crystal-Field Methods to C_1 Point-Group Symmetry: Characterization of the Optically Excited Hyperfine Structure of ~(167)Er~(3+): Y_2SiO_5

摘要

We show that crystal-field calculations for C-1 point-group symmetry are possible, and that such calculations can be performed with sufficient accuracy to have substantial utility for rare-earth based quantum information applications. In particular, we perform crystal-field fitting for a C-1-symmetry site in Er-167(3+) : Y2SiO5. The calculation simultaneously includes site-selective spectroscopic data up to 20 000 cm(-1), rotational Zeeman data, and ground-and excited-state hyperfine structure determined from high-resolution Raman-heterodyne spectroscopy on the 1.5 mu m telecom transition. We achieve an agreement of better than 50 MHz for assigned hyperfine transitions. The success of this analysis opens the possibility of systematically evaluating the coherence properties, as well as transition energies and intensities, of any rare-earth ion doped into Y2SiO5.