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 grey lattices). Depending on the field configuration such a lattice can exhibit one-dimensional (1D) or two-dimensional (2D) periodicity. It is shown that in ID and 2D dark magneto-optical lattices the effects connected with the Bose statistics of particles can be observed under temperatures 10(-5)-10(-6) K and densities 10(11)-10(12) cm(-3), i.e. those that are usual for current experiments on laser cooling.