English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Magic wavelengthsfor the $7S_{1/2}-7P_{1/2,3/2}$ transitions in Fr werereported by Dammalapati \textit{et al.} in [Phys. Rev. A 93, 043407 (2016)].These $\lambda_{\rm{magic}}$ were determined by plotting dynamicpolarizabilities ($\alpha$) of the involved states with the above transitionsagainst a desired range of wavelength. Electric dipole (E1) matrix elementslisted in [J. Phys. Chem. Ref. Data 36, 497 (2007)], from the measuredlifetimes of the $7P_{1/2,3/2}$ states and from the calculations consideringcore-polarization effects in the relativistic Hartree-Fock (HFR) method, wereused to determine $\alpha$. However, contributions from core correlationeffects and from the E1 matrix elements of the $7P-7S$, $7P-8S$ and $7P-6D$transitions to $\alpha$ of the $7P$ states were ignored. In this work, wedemonstrate importance of these contributions and improve accuracies of$\alpha$ further by replacing the E1 matrix elements taken from the HFR methodby the values obtained employing relativistic coupled-cluster theory. Ourstatic $\alpha$ are found to be in excellent agreement with the other availabletheoretical results; whereas substituting the E1 matrix elements used byDammalapati \textit{et al.} give very small $\alpha$ values for the $7P$states. Owing to this, we find disagreement in $\lambda_{\rm{magic}}$ reportedby Dammalapati \textit{et al.} for linearly polarized light; especially atwavelengths close to the D-lines and in the infrared region. As a consequence,a $\lambda_{\rm{magic}}$ reported at 797.75 nm which was seen supporting a bluedetuned trap in their work is now estimated at 771.03 nm and is supporting ared detuned trap. Also, none of our results match with the earlier results forcircularly polarized light. Moreover, our static values of $\alpha$ will bevery useful for guiding experiments to carry out their measurements.

Determination of magic wavelengths for the $7s ~ {^2}S_{1/2}-7p ~ {^2}P_{3/2,1/2}$ transitions in Fr atom