Abstract.
We develop a mean-field approach to include dipole-dipole interactions and quantum statistics in the atomic dynamics in bright and dark optical lattices including the proper spatial potentials instead of a simple δ-approximation. For classical distinguishable particles the results are even quantitatively similar to the properly scaled δ-function model. As the dominant effect bright and dark lattices exhibit opposite shifts in the lattice band energies and differ in their localisation properties as a function of density. The spatial-dependent potential allows strong modifications also in dark lattices, but the main conclusions obtained in the δ-approximation turn out to be still valid. Interestingly, important quantitative differences from the δ-model can occur as far as the effect of statistics in concerned, especially for fermions. We study the quantum statistical effects as a function of detuning and lattice well depths and identify the case of lattices with deep wells and large detunings as the preferred parameter region to observe them.
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Received 24 November 1999 / revised version: 24 June 1999 / Published online: 8 September 1999
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Menotti, C., Ritsch, H. Laser cooling of atoms in optical lattices including quantum statistics and dipole–dipole interactions. Appl Phys B 69, 311–321 (1999). https://doi.org/10.1007/s003400050811
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DOI: https://doi.org/10.1007/s003400050811