Ultra-Cold Bosons in Optical Lattice: Time-of-Flight Imaging of Atom-Atom Correlations |
| T.A. Zaleski and T.K. Kopeć
Institute of Low Temperature and Structure Research, Polish Academy of Sciences, POB 1410, 50-950 Wrocław 2, Poland |
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| In the present paper, we investigate a system of strongly interacting bosons confined in two-dimensional optical lattice. We propose a combination of the Bogoliubov method with the quantum rotor approach and determine the spatial atom-atom correlations. This allows us to calculate time-of-flight absorption images, which exhibit all the characteristic features present in experimental results, namely transition from superfluid peaks to Mott insulating blob. |
| DOI: 10.12693/APhysPolA.121.796 PACS numbers: 03.75.Kk, 05.30.Jp, 67.85.Hj |