Spatial diffusion in a periodic optical lattice: revisiting the Sisyphus effect |
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| Authors: | L Sanchez-Palencia P Horak G Grynberg |
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| Institution: | 1.Laboratoire Kastler-Brossel, Département de Physique de l'école Normale Supérieure, 24 rue Lhomond, 75231 Paris Cedex 05, France,FR;2.Institut für Theoretische Physik, Universit?t Innsbruck, Technikerstra?e 25, 6020 Innsbruck, Austria,AT |
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| Abstract: | We numerically study the spatial diffusion of an atomic cloud experiencing Sisyphus cooling in a three-dimensional linlin optical lattice in a broad range of lattice parameters. In particular, we investigate the dependence on the size of the
lattice sites which changes with the angle between the laser beams. We show that the steady-state temperature is largely independent
of the lattice angle, but that the spatial diffusion changes significantly. It is shown that the numerical results fulfill
the Einstein relations of Brownian motion in the jumping regime as well as in the oscillating regime. We finally derive an
effective Brownian motion model from first principles which gives good agreement with the simulations.
Received 8 August 2001 and Received in final form 6 November 2001 |
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| Keywords: | PACS 32 80 Pj Optical cooling of atoms trapping – 42 50 Vk Mechanical effects of light on atoms molecules electrons and ions |
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