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Entanglement Criteria of Two Two-Level Atoms Interacting with Two Coupled Modes

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Abstract

In this paper, we study the interaction between two two-level atoms and two coupled modes of a quantized radiation field in the form of parametric frequency converter injecting within an optical cavity enclosed by a medium with Kerr nonlinearity. It is demonstrated that, by applying the Bogoliubov-Valatin canonical transformation, the introduced model is reduced to a well-known form of the generalized Jaynes-Cummings model. Then, under particular initial conditions for the atoms (in a coherent superposition of its ground and upper states) and the fields (in a standard coherent state) which may be prepared, the time evolution of state vector of the entire system is analytically evaluated. In order to understand the degree of entanglement between subsystems (atom-field and atom-atom), the dynamics of entanglement through different measures, namely, von Neumann reduced entropy, concurrence and negativity is evaluated. In each case, the effects of Kerr nonlinearity and detuning parameter on the above measures are numerically analyzed, in detail. It is illustrated that the amount of entanglement can be tuned by choosing the evolved parameters, appropriately.

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Authors and Affiliations

  1. Atomic and Molecular Group, Faculty of Physics, Yazd University, Yazd, Iran

    Hamid Reza Baghshahi & Mohammad Kazem Tavassoly

  2. The Laboratory of Quantum Information Processing, Yazd University, Yazd, Iran

    Hamid Reza Baghshahi & Mohammad Kazem Tavassoly

  3. Department of Physics, Faculty of Science, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran

    Hamid Reza Baghshahi

  4. Physics and Photonics Department, Graduate University of Advanced Technology, Mahan, Kerman, Iran

    Mohammad Javad Faghihi

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  1. Hamid Reza Baghshahi
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  2. Mohammad Kazem Tavassoly
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  3. Mohammad Javad Faghihi
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Correspondence to Mohammad Kazem Tavassoly.

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Baghshahi, H.R., Tavassoly, M.K. & Faghihi, M.J. Entanglement Criteria of Two Two-Level Atoms Interacting with Two Coupled Modes. Int J Theor Phys 54, 2839–2854 (2015). https://doi.org/10.1007/s10773-015-2520-7

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