Geometric phase as entanglement probe in a pumped three-level atom placed near a dielectric
M. S. Ateto · Quantum Information Review · 2013
We introduce new features of the connection between entanglement induced by interaction and geometric phase acquired by a composite quantum system. Geometric phase, that reflects Bell angle between input and output photons in atom-cavity interaction, for a bipartite system under the inuence of a dielectric of Lorentzian permitti vity, is examined. We show that, with adjustment of Bell angle, typical features of atom-cavity entanglement can be obtained by considering a three- level appropriately positioned with respect to macroscopic bodies. We find that, due to the strong non-Mark ovian memory effects, phase Rabi oscillations, a principal signature of strong symmetrically or antisymmetrically photons evolution, ar e stimulated with atom farther from a medium with low oscillation frequency. On death of Rabi oscillations, which means symmetric entangled photons, a strong long-time-scale atom-cavity entanglement can be produced, specially, below the band gap region where the radiative decay dominates. This feature conicts the case of pure vacuum where atom-cavity entanglement decays exponentially. The feature that, our system is acting as a beam splitter (BS), is also, in detail, discussed. The results are of strong applications in constru ction of the universal quantum logic gates.