In this thesis, both experimental achievements and theoretical preparatory investigations
for future experiments are introduced. The experiments presented
are performed with the set-up used for laser cooling and trapping of rubidium
atoms, and the theoretical examinations are adopted for intended experiments
on Bose-Einstein Condensates.
A procedure for alignment of optical lattices with arbitrary geometry is
presented, with a accompanying description of the experimental apparatus in
general. The application of these lattices will be central in future measurements
on cold atoms and Bose-Einstein Condensates. Using optical lattice structures,
other than simple cubic, opens doors to investigations of diffusion, localization,
and various quantum phenomena in novel periodic and quasi-periodic structures.
The crossover from three-dimensional, to two- and one-dimensional systems
has been investigated with theoretical simulations. The feasibility of a trial experiment
is demonstrated for an array of parallel one-dimensional systems, so
called Luttinger liquids. The experimental signatures for a two-dimensional superfluid
and insulated one-dimensional systems are predicted, and will motivate
further experimental studies in our laboratory, as well as an in others.
2006. , 61 p.