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Contribution of negative-energy states to multipolar polarizabilities of the Sr optical lattice clock

S. G. Porsev1, M. G. Kozlov2,3, and M. S. Safronova1,4

  • 1Department of Physics and Astronomy, University of Delaware, Newark, Delaware 19716, USA
  • 2Petersburg Nuclear Physics Institute of NRC “Kurchatov Institute,” Gatchina, Leningrad District 188300, Russia
  • 3St. Petersburg Electrotechnical University “LETI,” Professor Popov Street 5, St. Petersburg 197376, Russia
  • 4Joint Quantum Institute, National Institute of Standards and Technology and the University of Maryland, Gaithersburg, Maryland 20742, USA

Phys. Rev. A 108, L051102 – Published 9 November, 2023

DOI: https://doi.org/10.1103/PhysRevA.108.L051102

Abstract

We address the problem of lattice light shifts in the Sr clock caused by multipolar M1 and E2 atom-field interactions. We present a simple but accurate formula for the magnetic-dipole polarizability that takes into account the contributions of both the positive- and negative-energy states. We calculate the contribution of negative-energy states to the M1 polarizabilities of the clock 1S0 and 3P0o states at the magic frequency. Taking these contributions into account, we obtain good agreement with the experimental results, explaining the major discrepancy between theory and experiment.

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synopsis

Solution for Atomic Clock Puzzle

Published 9 November, 2023

The resolution of a major discrepancy between theory and experiment for strontium atomic clocks could help improve the precision of these timekeepers.

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