Theoretical Investigation of the Black-body Zeeman Shift for Microwave Atomic Clocks

Abstract

With the development of microwave atomic clocks, the Zeeman shifts for the spectral lines of black-body radiation need to be investigated carefully. In this Letter, the frequency shifts of hyperfine splittings of atomic ground states due to the magnetic field of black-body radiation are reported. The relative frequency shifts of different alkali atoms and alkali-like ions, which could be candidates of microwave atomic clocks, were calculated. The results vary from $-0.977\times 10^{-17}[T(K)/300{]}^2$ to $-1.947\times 10^{-17}[T(K)/300{]}^2$ for different atoms considered. These results are consistent with previous work but with greater precision, detailed derivations, and a clear physical picture.

References in corpus (5)

• Multipolar theory of black-body radiation shift of atomic energy levels and its implications for optical lattice clocks
• High accuracy correction of blackbody radiation shift in an optical lattice clock
• High-accuracy calculation of black-body radiation shift in ${}^{133}$Cs primary frequency standard
• Blackbody radiation shift in a 43Ca+ ion optical frequency standard
• Relativistic calculations of the lifetimes and hyperfine structure constants in ${}^{67}$Zn${}^{+}$

Cited by in corpus (5)

• Precision determination of the ground-state hyperfine splitting of trapped ${}^{113}$Cd${}^{+}$ ions
• Probing Bosonic Stars with Atomic Clocks
• Using atomic clocks to detect local dark matter halos
• Thermal radiative corrections to hyperfine structure of light hydrogen-like systems
• Sympathetic cooling of ${}^{113}$Cd${}^{+}$ by laser-cooled ${}^{40}$Ca${}^{+}$ in a linear Paul trap for Microwave Ion Clocks