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Atom-atom entanglement in the double Jaynes-Cummings model

We investigated the entanglement between two qubits interacting with two independent modes of lossless resonators taking into account the dipole-dipole interaction. The model with different qubit-field couplings and detunings is under consideration. We derived the exact solution for considered model and investigated the dependence of the atom-atom entanglement on the strength of the dipole-dipole interaction and other parameters of the considered system. The results showed that the presence of a sufficiently large dipole-dipole interaction leads to stabilization of initial atom-atom entanglement.