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Optical Lattice Polarization Effects on Hyperpolarizability of Atomic Clock Transitions

A. V. Taichenachev·V. I. Yudin·V. D. Ovsiannikov·V. G. Pal'chikov
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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.

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A. V. Taichenachev, V. I. Yudin, V. D. Ovsiannikov, V. G. Pal'chikov. 2006-06-29. Optical Lattice Polarization Effects on Hyperpolarizability of Atomic Clock Transitions. https://doi.org/10.1103/physrevlett.97.173601

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