  Within the framework of exact quantum electrodynamics in dielectric, we study
the topological Berry phase of a classically pumped $\Lambda$-type three-level
atom, prepared initially in a superposition of its two pumped levels and
located near a planar dielectric half-space with model permittivity of Lorentz
type, interacts with a vacuum field. The effects of material losses, expressed
in terms of the Green tensor of the dielectric-matter formation including
dispersion and absorption, on the topological Berry phase of the photon
transition between the pumped levels have been studied. The outcomes are
compared with that of an atom in free space. We expect, the additional noise
due to presence of the dielectric will modify, in a unified way, the behavior
and values measured of the phase shift between the wavefunction evolution and
its original state. It is shown that for small separation distance between atom
and the dielectric surface, the angle separation between the wavefunction
evolution and the original state reduced noticeably that is of strong
applications in construction of the universal quantum logic gates. Further, the
study opens routes for new challenging applications of atomically systems as
various sources of coherent light emitted by pumped atoms in dielectric
surroundings.
