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One and two dimensional Bose-Einstein condensation of atoms in dark magneto-optical lattices

The motion of atoms in a dark magneto-optical lattice is considered. This lattice is formed by a non-uniformly polarized laser field in the presence of a static magnetic field. Cold atoms are localized in the vicinity of points where dark states are not destroyed by a magnetic field. As a result the optical interaction tends to zero (dark or gray lattices). Depending on the field configuration such a lattice can exhibit one or two-dimensional periodicity. It is shown that in 1D and 2D dark magneto-optical lattices the effects connected with the Bose-statistics of particles can be observed under the temperature $10^{-5}-10^{-6}K$ and densities $10^{11}-10^{12} cm^{-3}$, those are usual for current experiments on laser cooling.