Frequency shift of hyperfine transitions due to blackbody radiation

Abstract

We have performed calculations of the size of the frequency shift induced by a static electric field on the clock transition frequencies of the hyperfine splitting in Yb+, Rb, Cs, Ba+, and Hg+. The calculations are used to find the frequency shifts due to blackbody radiation which are needed for accurate frequency measurements and improvements of the limits on variation of the fine structure constant, alpha. Our result for Cs (delta nu E^2=-2.26 times 10^{-10}Hz/(V/m)^2) is in good agreement with early measurements and ab initio calculations. We present arguments against recent claims that the actual value might be smaller. The difference (approx 10%) is due to the contribution of the continuum spectrum in the sum over intermediate states.

Added discussion of Cs results and references

References in corpus (13)

• New Limits to the Drift of Fundamental Constants from Laboratory Measurements
• High-precision calculations of dispersion coefficients, static dipole polarizabilities, and atom-wall interaction constants for alkali-metal atoms
• New limit on the present temporal variation of the fine structure constant
• Testing the stability of fundamental constants with the 199Hg+ single-ion optical clock
• High precision measurement of the static dipole polarizability of cesium
• Calculations of parity nonconserving s-d transitions in Cs, Fr, Ba II, and Ra II
• High-accuracy calculation of black-body radiation shift in ${}^{133}$Cs primary frequency standard
• Frequency shift of cesium clock transition due to blackbody radiation
• High-precision determination of transition amplitudes of principal transitions in Cs from van der Waals coefficient C_6
• Optimizing the fast Rydberg quantum gate
• Off-Diagonal Hyperfine Interaction and Parity Non-conservation in Cesium
• Black Body Radiation Shift of the 133Cs Hyperfine Transition Frequency
• Measurement of the Blackbody Radiation Shift of the 133Cs Hyperfine Transition in an Atomic Fountain

Cited by in corpus (18)

• Theory and applications of atomic and ionic polarizabilities
• Progress in Atomic Fountains at LNE-SYRTE
• Advances in the accuracy, stability, and reliability of the PTB primary fountain clocks
• High accuracy measure of atomic polarizability in an optical lattice clock
• AC Stark shift of the Cs microwave atomic clock transitions
• Contributing to TAI with a Secondary Representation of the SI Second
• Determination of the 5d6s 3D1 state lifetime and blackbody radiation clock shift in Yb
• Blackbody radiation shift in a 43Ca+ ion optical frequency standard
• Demonstration of a Dual Alkali Rb/Cs Atomic Fountain Clock
• Magic frequencies for cesium primary frequency standard
• Atomic clocks with suppressed blackbody radiation shift
• Core-valence correlations for atoms with open shells
• Precision measurements with polar molecules: the role of the black body radiation
• Blackbody radiation shift in 87Rb frequency standard
• Polarizabilities and tune-out wavelengths of the hyperfine ground states of ${}^{87,85}$Rb
• Tune-out wavelengths of the hyperfine components of the ground level of ${}^{133}$Cs atoms
• Magnetic blackbody shift of hyperfine transitions for atomic clocks
• Sympathetic cooling of ${}^{113}$Cd${}^{+}$ by laser-cooled ${}^{40}$Ca${}^{+}$ in a linear Paul trap for Microwave Ion Clocks