Blackbody radiation shift in a 43Ca+ ion optical frequency standard

Abstract

Motivated by the prospect of an optical frequency standard based on 43Ca+, we calculate the blackbody radiation (BBR) shift of the 4s_1/2-3d_5/2 clock transition, which is a major component of the uncertainty budget. The calculations are based on the relativistic all-order single-double method where all single and double excitations of the Dirac-Fock wave function are included to all orders of perturbation theory. Additional calculations are conducted for the dominant contributions in order to evaluate some omitted high-order corrections and estimate the uncertainties of the final results. The BBR shift obtained for this transition is 0.38(1) Hz. The tensor polarizability of the 3d_5/2 level is also calculated and its uncertainty is evaluated as well. Our results are compared with other calculations.

4 pages

References in corpus (7)

• Relativistic many-body calculations of energy levels, hyperfine constants, electric-dipole matrix elements and static polarizabilities for alkali-metal atoms
• Multipolar theory of black-body radiation shift of atomic energy levels and its implications for optical lattice clocks
• New experimental and theoretical approach to the 3d D-level lifetimes of 40Ca+
• High-accuracy calculation of black-body radiation shift in ${}^{133}$Cs primary frequency standard
• Evaluation of the ultimate performances of a Ca+ single-ion frequency standard
• Frequency shift of hyperfine transitions due to blackbody radiation
• Inconsistencies between lifetime and polarizability measurements in Cs

Cited by in corpus (22)

• Theory and applications of atomic and ionic polarizabilities
• Development of a configuration-interaction + all-order method for atomic calculations
• Absolute frequency measurement of the 40Ca+ S1/2 - D5/2 clock transition
• Blackbody radiation shift, multipole polarizabilities, oscillator strengths, lifetimes, hyperfine constants, and excitation energies in Ca+
• Direct comparison of a Ca+ single ion clock against a Sr optical lattice clock
• Precision measurement of the branching fractions of the 4P3/2 decay of Ca II
• Precision Measurement Method for Branching Fractions of Excited P1/2 States Applied to 40Ca+
• Dynamic polarizabilities for the low lying states of Ca+
• Measurement of dipole matrix elements with a single trapped ion
• Relativistic coupled-cluster studies of ionization potentials, lifetimes and polarizabilities in singly ionized calcium
• An ion ring in a linear multipole trap for optical frequency metrology
• Theoretical study of lifetimes and polarizabilities in Ba+
• Part-per-billion measurement of the $4^2{S}_{1/2}\to 3^2{D}_{5/2}$ electric quadrupole transition isotope shifts between ${}^{42,44,48}$Ca${}^{+}$ and ${}^{40}$Ca${}^{+}$
• Dispersion C3 coefficients for the alkali-metal atoms interacting with a graphene layer and with a carbon nanotube
• Polarizability assessments of ion-based optical clocks
• Radiative Transition Properties of Singly Charged Magnesium, Calcium, Strontium and Barium Ions
• Theoretical Investigation of the Black-body Zeeman Shift for Microwave Atomic Clocks
• Dispersion coefficients for the interactions of the alkali and alkaline-earth ions and inert gas atoms with a graphene layer
• Angle-dependent magic wavelengths for the $4s_{1/2}\to 3d_{5/2,3/2}$ transitions of Ca${}^{+}$ ions
• Relativistic semiempirical-core-potential calculations in Ca${}^{+}$, Sr${}^{+}$, and Ba${}^{+}$ ions on Lagrange meshes
• Phase Stabilization of a Frequency Comb using Multipulse Quantum Interferometry
• Investigating the $4D_{3/2}|3,\pm 2⟩$--$4D_{5/2}|3,\pm 2⟩$ transition in Nb${}^{4+}$ for a THz atomic clock