  Atom localization enables a high-precision imaging of the atomic position,
which has provided vast applications in fundamental and applied science. In the
present work, we propose a scheme for realizing two-dimensional off-axis atom
localization in a three-level Lambda-type system. Benefiting from the use of a
hybrid coupling field which consists of one Gaussian beam and one
Laguerre-Gaussian beam, our scheme shows that the atoms can be localized at
arbitrary position with a high spatial resolution. Taking account of realistic
experimental parameters, our numerical simulation predicts that the atoms can
be precisely localized with a spatial resolution of ~200 nm in the range of a
radial distance of a few micrometers to the beam core. Our results provide a
more flexible way to localize atoms in a two-dimensional system, possibly
paving one-step closer to the nanometer-scale atom lithography and ultraprecise
microscopy.
