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Within the framework of exact quantum electrodynamics in dielectric, we studythe topological Berry phase of a classically pumped $\Lambda$-type three-levelatom, prepared initially in a superposition of its two pumped levels andlocated near a planar dielectric half-space with model permittivity of Lorentztype, interacts with a vacuum field. The effects of material losses, expressedin terms of the Green tensor of the dielectric-matter formation includingdispersion and absorption, on the topological Berry phase of the photontransition between the pumped levels have been studied. The outcomes arecompared with that of an atom in free space. We expect, the additional noisedue to presence of the dielectric will modify, in a unified way, the behaviorand values measured of the phase shift between the wavefunction evolution andits original state. It is shown that for small separation distance between atomand the dielectric surface, the angle separation between the wavefunctionevolution and the original state reduced noticeably that is of strongapplications in construction of the universal quantum logic gates. Further, thestudy opens routes for new challenging applications of atomically systems asvarious sources of coherent light emitted by pumped atoms in dielectricsurroundings.

Topological Berry phase of a pumped three-level atom in the presence of  dispersing and absorbing dielectric bodies: application to a half-space  dielectric surface