Calculation of higher-order corrections to the light shift of the $5s^2{}^1{S}_0$--$5s5p{}^3{P}_0^o$ clock transition in Cd

Abstract

In the recent work [A.~Yamaguchi et. al, Phys. Rev. Lett. {\bf 123}, 113201 (2019)] Cd has been identified as an excellent candidate for a lattice clock. Here, we carried out computations needed for further clock development and made an assessment of the higher-order corrections to the light shift of the $5s^2{}^1{S}_0$--$5s5p{}^3{P}_0^o$ clock transition. We carried out calculations of the magnetic dipole and electric quadrupole polarizabilities and linear and circular hyperpolarizabilities of the $5s^2{}^1{S}_0$ and $5s5p{}^3{P}_0^o$ clock states at the magic wavelength and estimated uncertainties of these quantities. We also evaluated the second-order Zeeman clock transition frequency shift.

arXiv comment5 pages

References in corpus (12)

• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• Single-Ion Atomic Clock with $3\times 10^{-18}$ Systematic Uncertainty
• Nuclear Spin Effects in Optical Lattice Clocks
• Development of a configuration-interaction + all-order method for atomic calculations
• Blackbody radiation shift in the Sr optical atomic clock
• Possibility of an ultra-precise optical clock using the $6^1{S}_0\to 6^3{P}_0^o$ transition in ${}^{171,173}$Yb atoms held in an optical lattice
• Narrow-line Cooling and Determination of Magic Wavelength of Cd
• Ytterbium in quantum gases and atomic clocks: van der Waals interactions and blackbody shifts
• Multipolar polarizabilities and hyperpolarizabilities in the Sr optical lattice clock
• Blackbody radiation shift for the ${}^1$S${}_0$--${}^3$P${}_0$ optical clock transition in zinc and cadmium atoms
• Clock-related properties of Lu+
• Finite field calculations of static polarizabilities and hyperpolarizabilities of In${}^{+}$ and Sr

Cited by in corpus (6)

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• Van der Waals molecules consisting of a zinc or cadmium atom interacting with an alkali-metal or alkaline-earth-metal atom
• Dynamic polarizabilities and triple magic trapping conditions for $5s^2{}^1{S}_0\to 5s5p{}^3{P}_{0,2}$ transitions of Cd atoms
• Investigating the $4D_{3/2}|3,\pm 2⟩$--$4D_{5/2}|3,\pm 2⟩$ transition in Nb${}^{4+}$ for a THz atomic clock