AC Stark effect in ThO $H^3Δ_1$ for the electron EDM search

A method and code for calculations of diatomic molecules in the external variable electromagnetic field have been developed. Code applied for calculation of systematics in the electron's electric dipole moment search experiment on ThO $H^3Δ_1$ state related to geometric phases, including dependence on $Ω$-doublet, rotational level, and external static electric field. It is found that systematics decrease cubically with respect to the frequency of the rotating transverse component of the electric field. Calculation confirms that experiment on ThO $H^3Δ_1$ state is very robust against systematic errors related to geometric phases.

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