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Indian Journal of Physics

Some features of the geometric phase and entanglement of three-level atom under cavity damping effects

S. Abdel‐Khalek, Y. S. El-Saman, Idir Mechai, Mahmoud Abdel‐Aty

Published Nov 16, 2019• 3 citations
Publisher
DOI
10.1007/s12648-019-01613-5

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In this article, the interaction between a time-dependent damping field and Λ-type of three-level atom is investigated. The effect of the atom and the fields' parameters on the behaviour of the atomic inversion, the generated entanglement between the atom and the cavity modes, the Pancharatnam geometric phase are discussed. It is shown that the phenomena of the collapses and revivals for the three physical quantities depend on the time-dependent coupling and the damping parameter. The long-lived behaviour of the non-classical correlation is observed either on the presence of only time-dependent coupling or at large values of the damping parameter. The damping effect has different features on the three phenomena, where the atomic inversion decays, the upper bounds of entanglement increases and increases periodic time of the Pancharatnam geometric phase.
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.