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We report on the observation and coherent excitation of atoms on the narrowinner-shell orbital transition, connecting the erbium ground state$[\mathrm{Xe}] 4f^{12} (^3\text{H}_6)6s^{2}$ to the excited state$[\mathrm{Xe}] 4f^{11}(^4\text{I}_{15/2})^05d (^5\text{D}_{3/2}) 6s^{2}(15/2,3/2)^0_7$. This transition corresponds to a wavelength of 1299 nm and isoptically closed. We perform high-resolution spectroscopy to extract the$g_J$-factor of the $1299$-nm state and to determine the frequency shift forfour bosonic isotopes. We further demonstrate coherent control of the atomicstate and extract a lifetime of 178(19) ms which corresponds to a linewidth of0.9(1) Hz. The experimental findings are in good agreement with oursemi-empirical model. In addition, we present theoretical calculations of theatomic polarizability, revealing several different magic-wavelength conditions.Finally, we make use of the vectorial polarizability and confirm a possiblemagic wavelength at 532 nm.

Observation of a narrow inner-shell orbital transition in atomic erbium at 1299 nm