Magic and tune-out wavelengths for atomic francium

Abstract

The frequency dependent polarizabilities of the francium atom are calculated from the available data of energy levels and transition rates. Magic wavelengths for the state insensitive optical dipole trapping are identified from the calculated light shifts of the $7s{}^2{S}_{1/2}$, $7p{}^2{P}_{1/2,3/2}$ and $8s{}^2{S}_{1/2}$ levels of the $7s{}^2{S}_{1/2}-7p{}^2{P}_{1/2,3/2}$ and $7s{}^2{S}_{1/2}-8s{}^2{S}_{1/2}$ transitions, respectively. Wavelengths in the ultraviolet, visible and near infrared region is identified that are suitable for cooling and trapping. Magic wavelengths between 600-700~nm and 700-1000~nm region, which are blue and red detuned with the $7s-7p$ and $7s-8s$ transitions are feasible to implement as lasers with sufficient power are available. In addition, we calculated the tune-out wavelengths where the ac polarizability of the ground $7s{}^2{S}_{1/2}$ state in francium is zero. These results are beneficial as laser cooled and trapped francium has been in use for fundamental symmetry investigations like searches for an electron permanent electric dipole moment in an atom and for atomic parity non-conservation.

9 pages, 5 figures, accepted for publication in Physical Review A

References in corpus (8)

• Species-specific optical lattices
• Parity and Time-Reversal Violation in Atomic Systems
• Magic wavelengths for the np-ns transitions in alkali-metal atoms
• Magic frequencies for cesium primary frequency standard
• Double core polarization contribution to atomic PNC and EDM calculations
• Efficient, Tightly-Confined Trapping of 226Ra
• Trapping radioactive ^{82}Rb in an optical dipole trap and evidence of spontaneous spin polarization
• Offline trapping of ${}^{221}$Fr in a magneto-optical trap from implantation of an ${}^{225}$Ac ion beam

Cited by in corpus (6)

• Anisotropic dependence of tune-out wavelength near Dy 741-nm transition
• Isotope Shifts in the 7s$\to$8s Transition of Francium: Measurements and Comparison to \textit{ab initio} Theory
• Determination of magic wavelengths for the $7s{}^2{S}_{1/2}-7p{}^2{P}_{3/2,1/2}$ transitions in Fr atom
• Precise many-body calculations and hyperfine interaction effect on dynamic polarizabilities at the low-lying energy levels of Y${}^{2+}$
• Two-dimensional beam profile monitor for the detection of alpha-emitting radioactive isotope beam
• Applicability of the Dirac-Fock method combined with Core Polarization in calculations of alkali atoms