Generation of maximally entangled mixed states of two atoms inside an optical cavity

We propose a possible scheme for generating the maximally entangled mixed state of two atoms symmetrically coupled to a single mode optical cavity field. It is shown that two atoms can not achieve the maximally entangled mixed state in the resonant case. Moreover, they can not violate the Bell-CHSH inequality in the resonant case. In the off-resonant case, the reduced density matrix of two atoms can approach to the maximally entangled mixed state in their evolution. We also find that the appropriate detuning and decoherence rate can make two atoms possess of ability to approach the wider region of the frontier of maximally entangled mixed states. The influence of the phase decoherence and the initial mixedness of the atoms is also discussed. It is observed that a moderate detuning is adapt to generate the maximally entangled mixed states of two atoms in the presence of phase decoherence. Furthermore, we show that the part of frontier of maximal Bell violation versus linear entropy can be reached by the reduced density matrix of two atoms. Finally, we examine the genuine three-partite entanglement among two atoms and the cavity field by employing the state preparation fidelity. PACS numbers: 03.67.-a, 03.65.Ud ∗Email: [email protected]