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Stationary state entanglement of a one-atom two-field system under random phase telegraph noise

In this paper, a system consisting of one atom coupled to two identical optical cavities in a stochastic interaction is investigated for the entanglement properties between the constituents by the Jaynes–Cummings model. The noise is considered to be the random phase telegraph noise and an exact solution of the model under this noise is obtained. The effects of the noise on the entanglement of the system reveal that the genuine three-partite entanglement cannot appear in the evolution of the system even in the presence of the random phase telegraph noise. The fields and the atom do not entangle with each other. However, the noise is cooperative and constructive in building a strong steady state field–field entanglement. Therefore, the separable state of the atom plays the role of a catalyst in the entanglement between the states of the cavity fields.