Multipolar Black Body Radiation Shifts for the Single Ion Clocks

Abstract

Appraising the projected $10^{-18}$ fractional uncertainty in the optical frequency standards using singly ionized ions, we estimate the black-body radiation (BBR) shifts due to the magnetic dipole (M1) and electric quadrupole (E2) multipoles of the magnetic and electric fields, respectively. Multipolar scalar polarizabilities are determined for the singly ionized calcium (Ca${}^{+}$) and strontium (Sr${}^{+}$) ions using the relativistic coupled-cluster method; though the theory can be exercised for any single ion clock proposal. The expected energy shifts for the respective clock transitions are estimated to be $4.38(3)\times 10^{-4}$ Hz for Ca${}^{+}$ and $9.50(7)\times 10^{-5}$ Hz for Sr${}^{+}$. These shifts are large enough and may be prerequisite for the frequency standards to achieve the foreseen $10^{-18}$ precision goal.

1 figure, 4 tables

References in corpus (7)

• 'Designer atoms' for quantum metrology
• Multipolar theory of black-body radiation shift of atomic energy levels and its implications for optical lattice clocks
• Blackbody radiation shift, multipole polarizabilities, oscillator strengths, lifetimes, hyperfine constants, and excitation energies in Ca+
• Relativistic general-order coupled-cluster method for high-precision calculations: Application to Al+ atomic clock
• Investigations of Ra${}^{+}$ properties to test possibilities of new optical frequency standards
• Accurate determination of electric-dipole matrix elements in K and Rb from Stark shift measurements
• An {\it ab initio} relativistic coupled-cluster theory of dipole and quadrupole polarizabilities: Applications to a few alkali atoms and alkaline earth ions

Cited by in corpus (25)

• State-insensitive trapping of Rb atoms: linearly versus circularly polarized lights
• Effective oscillator strength distributions of spherically symmetric atoms for calculating polarizabilities and long-range atom-atom interactions
• Dynamic polarizabilities for the low lying states of Ca+
• Dispersion C3 coefficients for the alkali-metal atoms interacting with a graphene layer and with a carbon nanotube
• Magic wavelengths for trapping the alkali-metal atoms with circularly polarized light
• Transition properties of potassium atom
• Static and dynamic polarizabilities of Yb-ion]{Accurate determination of black-body radiation shift, magic and tune-out wavelengths for the $6{\mathrm{S}}_{1/2}\to 5{\mathrm{D}}_{3/2}$ clock transition in Yb${}^{+}$
• Annexing magic and tune-out wavelengths to the clock transitions of the alkaline-earth metal ions
• Implementation and Application of the Relativistic Equation of Motion Coupled-cluster Method for the Excited States of Closed-shell Atomic Systems
• Relativistic coupled-cluster theory analysis of energies, hyperfine structure constants, and dipole polarizabilities of Cd${}^{+}$
• Comparing magic wavelengths for the $6s{}^2{S}_{1/2}-6p{}^2{P}_{1/2,3/2}$ transitions of Cs using circularly and linearly polarized light
• Finite-field calculation of the polarizabilities and hyperpolarizabilities of Al${}^{+}$
• Determination of magic wavelengths for the $7s{}^2{S}_{1/2}-7p{}^2{P}_{3/2,1/2}$ transitions in Fr atom
• Finite field calculations of static polarizabilities and hyperpolarizabilities of In${}^{+}$ and Sr
• Polarizabilities and tune-out wavelengths of the hyperfine ground states of ${}^{87,85}$Rb
• Ba${}^{+}$ Quadrupole Polarizabilities: Theory versus Experiment
• Estimation of BBR shift due to Stark effect for the Microwave ${}^{113}$Cd${}^{+}$ Ion Clock
• Higher-component quadrupole polarizabilities: Estimations for the clock states of the alkaline earth-metal ions
• Relativistic semiempirical-core-potential calculations in Ca${}^{+}$, Sr${}^{+}$, and Ba${}^{+}$ ions on Lagrange meshes
• Ab initio Calculations of Electric Dipole Polarizabilities in the Li, Na and K Atoms
• Accurate determination of energy levels, hyperfine structure constants, lifetimes and dipole polarizabilities of triply ionized tin isotopes
• Demonstrating Correlation Trends in the Electric Dipole Polarizabilities of Many Low-lying States in Cs I through First-principle Calculations
• Dispersion coefficients for the interaction of Cs atom with different material media
• Investigating the $4D_{3/2}|3,\pm 2⟩$--$4D_{5/2}|3,\pm 2⟩$ transition in Nb${}^{4+}$ for a THz atomic clock
• Two- and three-body dispersion coefficients for interaction of Cu and Ag atoms with {Group} I, II, and XII elements