Abstract
We have created stable sodium Bose-Einstein condensates in the $|F=1,{m}_{F}=\ensuremath{-}1\ensuremath{\rangle}$ state in a one-dimensional optical lattice with a lifetime of 102 $\ifmmode\pm\else\textpm\fi{}$ 42 s, which is limited by the photon scattering rate. The condensates were transferred to the upper hyperfine $F$ $=$ 2 state and the one-body and two-body loss rates were examined. Condensates in the $|2,1\ensuremath{\rangle}$ state were transferred in the optical lattice from the initially prepared condensates using a two-photon microwave\char21{}radio-frequency pulse. The two-body loss coefficients in the $|2,0\ensuremath{\rangle}$ and $|2,1\ensuremath{\rangle}$ states were found to be (2.1 $\ifmmode\pm\else\textpm\fi{}$ 1.4) $\ifmmode\times\else\texttimes\fi{}$ 10${}^{\ensuremath{-}12}$ and (7.7 $\ifmmode\pm\else\textpm\fi{}$ 1.0) $\ifmmode\times\else\texttimes\fi{}$ 10${}^{\ensuremath{-}13}$ cm${}^{3}$ s${}^{\ensuremath{-}1}$, respectively. The lifetime of the $|2,1\ensuremath{\rangle}$ state was 15 ms at the initial density of 5 $\ifmmode\times\else\texttimes\fi{}$ 10${}^{14}$ atoms/cm${}^{3}$. We constructed a Ramsey atom interferometer using BECs in the $|1,\ensuremath{-}1\ensuremath{\rangle}$, and $|2,1\ensuremath{\rangle}$ states with an interrogation time of 2 ms in the optical lattice.
Published Version
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