  We propose a single-site addressing implementation based on the
sub-wavelength localization via adiabatic passage (SLAP) technique. We consider
a sample of ultracold neutral atoms loaded into a two-dimensional optical
lattice with one atom per site. Each atom is modeled by a three-level
\Lambda-system in interaction with a pump and a Stokes laser pulse. Using a
pump field with a node in its spatial profile, the atoms at all sites are
transferred from one ground state of the system to the other via stimulated
Raman adiabatic passage, except the one at the position of the node that
remains in the initial ground state. This technique allows for the preparation,
manipulation, and detection of atoms with a spatial resolution better than the
diffraction limit, which either relaxes the requirements on the optical setup
used or extends the achievable spatial resolution to lattice spacings smaller
than accessible to date. In comparison to techniques based on coherent
population trapping, SLAP gives a higher addressing resolution and has
additional advantages such as robustness against parameter variations,
coherence of the transfer process, and the absence of photon induced recoil.
Additionally, the advantages of our proposal with respect to adiabatic
spin-flip techniques are highlighted. Analytic expressions for the achievable
addressing resolution and efficiency are derived and compared to numerical
simulations for Rb-87 atoms in state-of-the-art optical lattices.
