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A measurement technique is described which has the potential to map theatomic site occupancies of ultracold atoms in a short-period three-dimensionaloptical lattice. The method uses accordion and pinning lattices, together withpolarization gradient cooling and fluorescence detection, to measure thepositions of individual atoms within the sample in three dimensions at aresolution of around half the atomic resonant wavelength. The method measuresthe site occupancy, rather than the parity of the site occupancy, of atoms inthe lattice. It is expected that such measurements hold significant potentialfor the study of ultracold quantum dynamics.

Design of a technique to measure the density of ultracold atoms in a short-period optical lattice in three dimensions with single atom sensitivity