Blackbody-radiation shift in a $^{88}$Sr$^+$ ion optical frequency standard

POSTER

Abstract

The blackbody radiation (BBR) shift of the $5s - 4d_{5/2}$ clock transition in $^{88}$Sr$^+$ is calculated using the relativistic all-order method where all single and double excitations of the Dirac-Fock wave function are included to all orders of perturbation theory. The BBR shift is a major component in the uncertainty budget of the optical frequency standard based on $^{88}$Sr$^+$ trapped ion at room temperature. Additional calculations are conducted for the dominant contributions in order to evaluate some omitted high-order corrections and estimate the uncertainty of our final value. The scalar polarizabilities of the $5s$ and $4d_{5/2}$ levels, as well as the tensor polarizability of the $4d_{5/2}$ level, are presented together with the evaluation of their uncertainties. The lifetimes of the $4d_{3/2}$, $4d_{5/2}$, $5p_{1/2}$, and $ 5p_{3/2}$ states are calculated and compared with experimental values.

Authors

  • Dansha Jiang

    • University of Delaware
    • Department of Physics and Astronomy, University of Delaware, Newark, DE 19716-2570, USA

  • Bindiya Arora

    • Department of Physics and Astronomy, University of Delaware, Newark, DE 19716-2570, USA

  • Marianna Safronova

    • Department of Physics and Astronomy, University of Delaware, Newark, DE 19716-2570, USA

  • Charles Clark

    • JQI, NIST and University of Maryland
    • Joint Quantum Institute, National Institute of Standards and Technology, Gaithersburg MD 20899
    • Joint Quantum Institute, National Institute of Standards and Technology and the University of Maryland, Gaithersburg, Maryland 20899-8410, USA
    • NIST
    • Joint Quantum Institute, University of Maryland and National Institute of Standard and Technology, Gaithersburg, MD 20899