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Geometric phase as entanglement probe in a pumped three-level atom placed near a dielectric |
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PP: 35-49 |
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Author(s) |
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M. S. Ateto,
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Abstract |
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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 permittivity, 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-Markovian memory effects, phase Rabi oscillations, a principal
signature of strong symmetrically or antisymmetrically photons evolution, are 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 construction of the universal quantum logic gates. |
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