Operational Magic Intensity for Sr Optical Lattice Clocks

Abstract

We experimentally investigate the lattice-induced light shift by the electric-quadrupole ($E2$) and magnetic-dipole ($M1$) polarizabilities and the hyperpolarizability in Sr optical lattice clocks. Precise control of the axial as well as the radial motion of atoms in a one-dimensional lattice allows observing the $E2$-$M1$ polarizability difference. Measured polarizabilities determine an operational lattice depth to be $72(2)E_R$, where the total light shift cancels to the $10^{-19}$ level, over a lattice-intensity variation of about 30%. This operational trap depth and its allowable intensity range conveniently coincide with experimentally feasible operating conditions for Sr optical lattice clocks.

9 pages, 9 figures, 1 table, and Supplemental Material

References in corpus (7)

• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• Improved limit on a temporal variation of $m_p/m_e$ from comparisons of Yb${}^{+}$ and Cs atomic clocks
• Real-time geopotentiometry with synchronously linked optical lattice clocks
• Optical Lattice Induced Light Shifts in an Yb Atomic Clock
• Improved frequency measurement of a one-dimensional optical lattice clock with a spin-polarized fermionic ${}^{87}$Sr isotope
• Hyperpolarizability and operational magic wavelength in an optical lattice clock
• Strategies for reducing the light shift in atomic clocks

Cited by in corpus (4)

• Modeling light shifts in optical lattice clocks
• A mid-infrared magneto-optical trap of metastable strontium for an optical lattice clock
• Precision measurements with cold atoms and trapped ions
• Angular response of a triangular optical cavity analyzed by a linear approximation method