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