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Optics Communications

Analysis of atomic density distributions in optical lattices using an optical mask

R. Zhang, Natalya V. Morrow, Rachel Sapiro, P. R. Berman, Georg A. Raithel

Published Apr 18, 2007• 3 citations
Publisher
DOI
10.1016/j.optcom.2007.03.061

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This thesis presents work performed to obtain an optical mask for conducting matter-wave interfer-ometry experiments with ultra-cold rubidium-85 atoms. The optical mask is essentially an absorptive diffraction grating made of light, and it can imprint a periodic density pattern on a cloud of atoms with a period of half the wavelength of the light used. The mask has an analogous effect to quickly passing a diffraction grating through the cloud, removing atoms located at the nodes of the grating (though the optical mask depumps atoms to a different hyperfine ground state rather than actually removes them). The mask should be useful in performing precision measurements of physical constants such as the fine-structure constant α, and acceleration due to gravity g. The thesis briefly expounds major historical developments in atom interferometry and laser cooling. Prerequisites for an optical mask include a functioning magneto-optical trap, and the ability to perform polarisation-gradient cooling on trapped atoms. The theory of these two techniques is reviewed and the principle of the the optical mask is explained. The experimental apparatus that was constructed to realise the optical mask is described, and technical developments made along the way are presented. Finally, aspects of the ex-periment relevant to the optical mask are characterised. The experiment can reliably produce samples of cold atoms at temperatures of around 10 µK, and can use the cold atoms as an optical frequency reference accurate to ∼ 1 MHz. Clear evidence that the cloud of atoms is being density-modulated by the optical mask is presented. Improvements required to make the experiment into a fully-functioning interferometer are also discussed. i ii

•Jan 1, 2014•1 citation
Density-density correlation analysis is a convenient diagnostic tool to reveal the hidden order in the strongly correlated phases of ultracold atoms. We report on a study of the density-density correlations of ultracold bosonic atoms which were initially prepared in a Mott insulator (MI) state in one-dimensional optical lattices. For the atomic gases released from the deep optical lattice, we extracted the normalized density-density correlation function from the atomic density distributions of freely expanded atomic clouds. Periodic bunching peaks were observed in the density-density correlation spectra, as in the case of higher-dimensional lattices. Treating the bosonic gas within each lattice well as a subcondensate without quantum tunneling, we simulated the post-expansion density distribution along the direction of the 1D lattice, and the calculated density-density correlation spectra agreed with our experimental observations.
An analysis of general characteristics of light-induced forces is presented for arbitrary monochromatic masks in which optical pumping of atoms and spontaneous emission play an important role. Dependence of regions of localization on detuning and ellipticity is determined for cyclic transitions of two types: J å J with half-integer J and J å J + 1 with arbitrary J . Numerical simulations of atomic beam focusing with one-and two-dimensional light masks show that spatial atom distributions with narrow features and high contrast can be formed in dissipative masks. In particular, spherical aberration is substantially reduced when the pumping field is tuned to a J å J + 1 transition with large J in lin ∼ lin configuration as compared to nondissipative masks.
This thesis presents work performed to obtain an optical mask for conducting matter-wave interfer-ometry experiments with ultra-cold rubidium-85 atoms. The optical mask is essentially an absorptive diffraction grating made of light, and it can imprint a periodic density pattern on a cloud of atoms with a period of half the wavelength of the light used. The mask has an analogous effect to quickly passing a diffraction grating through the cloud, removing atoms located at the nodes of the grating (though the optical mask depumps atoms to a different hyperfine ground state rather than actually removes them). The mask should be useful in performing precision measurements of physical constants such as the fine-structure constant α, and acceleration due to gravity g. The thesis briefly expounds major historical developments in atom interferometry and laser cooling. Prerequisites for an optical mask include a functioning magneto-optical trap, and the ability to perform polarisation-gradient cooling on trapped atoms. The theory of these two techniques is reviewed and the principle of the the optical mask is explained. The experimental apparatus that was constructed to realise the optical mask is described, and technical developments made along the way are presented. Finally, aspects of the ex-periment relevant to the optical mask are characterised. The experiment can reliably produce samples of cold atoms at temperatures of around 10 µK, and can use the cold atoms as an optical frequency reference accurate to ∼ 1 MHz. Clear evidence that the cloud of atoms is being density-modulated by the optical mask is presented. Improvements required to make the experiment into a fully-functioning interferometer are also discussed. i ii