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Journal of the Korean Physical Society

Inhomogeneous Broadening of a Ground Hyperfine Transition in an Optical Trap

Huidong Kim, Sin Hyuk Yim, D. Cho

Published Oct 15, 2007• 7 citations
Publisher
DOI
10.3938/jkps.51.1279

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We present a method for reducing the inhomogeneous frequency broadening in the hyperfine splitting of the ground state of optically trapped atoms. This reduction is achieved by the addition of a weak light field, spatially mode matched with the trapping field and whose frequency is tuned in between the two hyperfine levels. We experimentally demonstrate the new scheme with ${}^{85}\mathrm{Rb}$ atoms, and report a 50-fold narrowing of the rf spectrum.

arXiv:physics/0204082•Physical Review A•Oct 15, 2002•57 citations
We propose a way to eliminate the inhomogeneous broadening for a ground-state hyperfine transition of an alkali metal atom in an optical trap by using a properly polarized trapping field. The ac Stark shift contribution from the vector polarizability has opposite sign for a pair of ground hyperfine levels. It can be used to eliminate the inhomogeneous broadening from the difference in the scalar polarizbilities due to the hyperfine splitting. The size of the vector term is determined by the polarization state of the trapping field, and by controlling the polarization tightly one can achieve a very narrow linewidth. We estimate required tolerance in the polarization control to achieve 1-Hz linewidth for a specific case of a cesium atom. This proposal has significant implications for an electric dipole moment measurement using cesium atoms and quantum information processing using an optical lattice.
Abstract We report our theoretical and experimental study on how the motional states of an atom trapped in a 1D optical lattice modify its hyperfine transition. We calculate and measure the inhomogeneously broadened line shape of a transition from the ∣ 5 S 1 / 2 , F = 1 , m F = 1 〉 state to the ∣ 5 S 1 / 2 , F = 2 , m F = 2 〉 state of 87 Rb atoms in a lattice with various elliptic polarizations, and find excellent agreement. The atoms are at a temperature below 10 μ K, and the well depth at an antinode is 100 μ K. For the line shape calculation, we develop an efficient formula that allows us to evaluate the Franck–Condon factor from the 3D motional states accurately with a motional quantum number of as high as 1600. Precise spectroscopic measurements are conducted using evaporatively cooled atoms in a 980 nm lattice formed by a Fabry–Perot cavity placed inside a two-layer magnetic shield. Our results show how the broadening and decoherence of a ground hyperfine transition are related with the motional states. Inversely, our results can be applied to develop schemes to manipulate the motional states by using an inhomogeneously broadened hyperfine transition. As an example, we discuss the radio-frequency induced evaporative cooling in an optical lattice with a fixed well depth.
We present a method for reducing the inhomogeneous frequency broadening in the hyperfine splitting of the ground state of optically trapped atoms. This reduction is achieved by the addition of a weak light field, spatially mode matched with the trapping field and whose frequency is tuned in between the two hyperfine levels. We experimentally demonstrate the new scheme with 85Rb{}^{85}\mathrm{Rb}85Rb atoms, and report a 50-fold narrowing of the rf spectrum.