Simultaneous magic trapping conditions for three additional clock transitions in Yb to search for variation of the fine-structure constant

Abstract

We demonstrate that the $4{f}^{14}6s6p\phantom{\rule{0.16em}{0ex}}(^{3}P_{2})\ensuremath{-}4{f}^{13}5d6{s}^{2}\phantom{\rule{0.16em}{0ex}}(^{3}P_{2}^{*})$ transition in neutral ytterbium (Yb) can serve as an additional clock transition with the highest fine-structure constant (${\ensuremath{\alpha}}_{e}$) varying sensitivity coefficient $[q=\ensuremath{-}46165(3000)]$. We demonstrate a scheme to attain simultaneous magic trapping conditions for this clock transition with other two proposed clock transitions $4{f}^{14}6{s}^{2}\phantom{\rule{0.16em}{0ex}}(^{1}S_{0})\ensuremath{-}^{3}P_{2}$ and $^{1}S_{0}\ensuremath{-}^{3}P_{2}^{*}$, which also possess very large $q$ values. These conditions can be realized by subjecting Yb atoms to a bias magnetic field with tuning the particular polarization angles of the trapping laser. Upon realization, it can serve as the most potential optical lattice clock to probe ${\ensuremath{\alpha}}_{e}$ variation.