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Engineering entanglement of a general three-level system interacting with a correlated two-mode nonlinear coherent state

  • Mahmoud Abdel-Aty
  • Abdel-Shafy F. Obada

Abstract:

In this article a treatment of a three-level atom interacting with two modes of light in a cavity with arbitrary forms of nonlinearities of both the fields and the intensity-dependent atom-field coupling is presented. A factorization of the initial density operator is assumed, with the privileged field modes being in a pair-coherent state. We derive and illustrate an exact expression for the time evolution of the density operator, by means of which we identify and numerically demonstrate the region of parameters where significantly large entanglement can be obtained. We show that entanglement can be significantly influenced by different kinds of nonlinearities. The nonlinear medium yields the superstructure of atomic Rabi oscillation. We propose a generation of Bell-type states having a simple initial state preparation of the present system.

PACS. 42.65.Sf Dynamics of nonlinear optical systems; optimal instabilities, optical chaos and complexity, and optical spatio-temporal dynamics – 03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) – 03.67.Hk Quantum communication 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 2003

Authors and Affiliations

  • Mahmoud Abdel-Aty
    • 1
  • Abdel-Shafy F. Obada
    • 2
  1. 1.Mathematics Department, Faculty of Science, South Valley University, 82524 Sohag, EgyptEG
  2. 2.Mathematics Department, Faculty of Science, Al-Azhar University, Naser City, Cairo, EgyptEG

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