Optical lattice-field-induced 1S0 -3P0 transitions in even isotopes of alkaline-earth atoms

The circular polarized laser beam of the “magic” wavelength used to produce an optical lattice for the time-frequency standard on neutral atoms may mix the ³P₁ state to the long-living metastable state ³P₀ thus providing significant enhancement of the strongly forbidden ¹S₀-³P₀ clock transition in even isotopes of alkaline-earth-like atoms. We present a detailed analysis of various factors influencing resolution and uncertainty for this kind of optical standard, including precise estimations of the “magic” wavelengths, transition matrix elements and field induced second- and fourth-order ac Stark shifts for the ground and metastable alkaline-earth-like atoms.