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We investigate the conditions of entanglement for a system of two atoms andtwo photon modes in vacuum, using the Jaynes-Cummings model in therotating-wave approximation. It is found, by generalizing the existing results,that the strength of entanglement is a periodic function of time. We explicitlyshow that our results are in agreement with the existing results ofentanglement conditions under appropriate limits. Results for the two-atom andtwo-photon system are generalized to the case of arbitrary values for theatomic energies, corresponding to photon modes frequencies. Though it isapparently a generalization of the existing work, we have considered for thefirst time both the resonant and nonresonant conditions and found a generalequation which could be true for both cases. Moreover, we show that periodicityof the entanglement is a distinct feature of resonant system. Considering thetwo atoms and two photons system, in detail, we setup an approach which couldbe generalized for many particle systems and the resulting master equation canalso be analyzed.

Entanglement in a Jaynes-Cummings Model with Two Atoms and Two Photon Modes