Hyperfine effects on potassium tune-out wavelengths and polarizabilities

Abstract

The influence of hyperfine interactions on the tune-out wavelengths of the ${}^{39,40,41}$K isotopes of the potassium atom was investigated. The hyperfine interaction of the $4s_{1/2}$ state result in a shift and splitting of the primary tune-out wavelength near 769 nm. The $4s_{1/2}$ ground state hyperfine splittings of the primary tune-out were almost equal to the hyperfine splittings of the ground states. The splittings in the wavelengths were 0.0008, 0.0027 and 0.0005 nm for ${}^{39}$K, ${}^{40}$K and ${}^{41}$K respectively. The hyperfine splitting of the $n{p}_J$ levels leads to the creation of additional tune-out wavelengths. The additional tune-out wavelengths could be difficult to detect due to very small differences from the transition wavelengths to the $4p_{J,F}$ states. The hyperfine Stark shift for the ground states of all three isotopes were also computed and the value for ${}^{30}$K was found to be compatible with the previous experiments and the most recent calculation using relativistic many body perturbation theory.

References in corpus (6)

• Species-specific optical lattices
• High-accuracy calculation of black-body radiation shift in ${}^{133}$Cs primary frequency standard
• Precision Measurement of Transition Matrix Elements via Light Shift Cancellation
• Frequency shift of cesium clock transition due to blackbody radiation
• Tune-out wavelengths for potassium
• Revisiting Nuclear Quadrupole Moments in ${}^{39-41}$K Isotopes

Cited by in corpus (10)

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• Relativistic full-configuration-interaction calculations of magic wavelengths for the $2{}^3{S}_1\to 2{}^1{S}_0$ transition of helium isotopes
• Polarizabilities and tune-out wavelengths of the hyperfine ground states of ${}^{87,85}$Rb
• Probing supersolidity through excitations in a spin-orbit-coupled Bose-Einstein condensate
• Relativistic and Electron Correlation Effects in Static Dipole Polarizabilities for Main-Group Elements
• Proposal for suppressing ac Stark shift in the He($2{}^3{S}_1\to 3{}^3{S}_1$) two-photon transition using magic wavelengths
• Experimental study of magnetically insensitive transitions in ultracold Fermi gas of ${}^{40}$K