In this paper, the fidelity in two-photon J-C model of a high Q cavity filled with the Kerr medium is investigated. It is found that the Kerr medium significantly influences the fidelity of quantum states. When the coupling between the medium and the cavity is strong, the fidelity of atom keeps to be 1, the atom is disentangled,which results from the shielding of interaction of the field and the atom by the Kerr medium.
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