  Use of the Laguerre-Gaussian fields in an atom-light interaction makes the
linewidth of the optical spectrum narrow. We exploit this fact for providing
the ability to accomplish simultaneous ultra-high precision and spatial
resolution atom localization in a double-$\Lambda$ atomic system. Under
multi-photon resonance condition, the resolution of the localization is
remarkably improved so that the atom can be localized in a region smaller than
$\lambda/20 \times \lambda/20$. Most prominently, the probability of finding
the atom at a particular position is always 100%, when a photon with certain
frequencies is absorbed or amplified. Such features are mainly dependent on
radial dependence associated with the Laguerre-Gaussian fields in a spatially
dependent atom-light interaction.
