AC Stark effect in ThO $H^3{\Delta }_1$ for the electron EDM search

Abstract

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 $H^3{\Delta }_1$ state related to geometric phases, including dependence on $\Omega$-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 $H^3{\Delta }_1$ state is very robust against systematic errors related to geometric phases.

arXiv comment4 pages

References in corpus (12)

• Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron
• Electric dipole moments as probes of new physics
• The Buffer Gas Beam: An Intense, Cold, and Slow Source for Atoms and Molecules
• Naturalness and the Status of Supersymmetry
• Search for the electric dipole moment of the electron with thorium monoxide
• Precision Spectroscopy of Polarized Molecules in an Ion Trap
• Theoretical study of ThO for the electron electric dipole moment search
• Theoretical study of thorium monoxide for the electron electric dipole moment search, II: Electronic properties of $H^3{\Delta }_1$ in ThO
• Zeeman interaction in ThO $H^3{\Delta }_1$ for the electron EDM search
• Optical Spectroscopy of Tungsten Carbide for Uncertainty Analysis in Electron Electric Dipole Moment Search
• Preparation and detection of states with simultaneous spin alignment and molecular orientation in PbO
• Hyperfine and Zeeman interactions of the $a(1){[}^3{\Sigma }_1^{+}]$ state of PbO

Cited by in corpus (9)

• Sensitivity of the YbOH molecule to $\mathcal{P}$,$\mathcal{T}$-odd effects in the external electric field
• $\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state
• Zeeman interaction in ${}^3{\Delta }_1$ state of HfF${}^{+}$ to search for the electron electric-dipole-moment
• Rovibrational structure of the Ytterbium monohydroxide molecule and the $\mathcal{P}$,$\mathcal{T}$-violation searches
• Study of systematic effects in the HfF${}^{+}$ ion experiment to search for the electron electric dipole moment
• The Rabi frequency on the $H^3{\Delta }_1$ to $C^1\Pi$ transition in ThO: influence of interaction with electric and magnetic fields
• Rotating and vibrating symmetric top molecule RaOCH${}_3$ in the fundamental $\mathcal{P}$, $\mathcal{T}$-violation searches
• $\mathcal{P}$,$\mathcal{T}$-odd energy shifts of the ${}^{173}$YbOH
• Electric-field-dependent $g$ factor for the ground state of lead monofluoride, PbF