Optical Lattice Polarization Effects on Hyperpolarizability of Atomic Clock Transitions

Abstract

The light-induced frequency shift due to the hyperpolarizability (i.e. terms of second-order in intensity) is studied for a forbidden optical transition, $J$=0$\to$$J$=0. A simple universal dependence on the field ellipticity is obtained. This result allows minimization of the second-order light shift with respect to the field polarization for optical lattices operating at a magic wavelength (at which the first-order shift vanishes). We show the possibility for the existence of a magic elliptical polarization, for which the second-order frequency shift vanishes. The optimal polarization of the lattice field can be either linear, circular or magic elliptical. The obtained results could improve the accuracy of lattice-based atomic clocks.

4 pages, RevTeX4, 2 eps figs

References in corpus (5)

• New limit on the present temporal variation of the fine structure constant
• Direct excitation of the forbidden clock transition in neutral 174Yb atoms confined to an optical lattice
• Magnetic field-induced spectroscopy of forbidden optical transitions with application to lattice-based optical atomic clocks
• Systematic study of the ${}^{87}$Sr clock transition in an optical lattice
• Hyperpolarizability effects in a Sr optical lattice clock

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• Doubly magic optical trapping for Cs atom hyperfine clock transitions
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• Finite field calculations of static polarizabilities and hyperpolarizabilities of In${}^{+}$ and Sr
• Magic intensity trapping of the Mg lattice clock with light shift suppressed below $10^{-19}$
• Lattice-induced non-adiabatic frequency shifts in optical lattice clocks
• Clock frequency estimation under spontaneous emission