Measurement-induced disturbance in Heisenberg XY spin model with Dzialoshinskii - Moriya interaction under intrinsic decoherence

Quantum correlations measured by measurement-induced disturbance (MID) in a two-qubit Heisenberg XY spin model with Dzialoshinskii - Moriya (DM) interaction under intrinsic decoherence are investigated. MID is studied under various circumstances and the influences of the external dependencies on the final quantum state which has stable MID are discussed. Two kinds of initial quantum states are considered as well as different conclusions. MID appears to decay periodically during the processing of intrinsic decoherence; both DM interaction and intrinsic decoherence have a negative impact on the correlations. The MID of the stable state depends on several factors, except the parameter of the intrinsic decoherence. Moreover, we find a special initial state that is able to maintain the maximum quantum correlations during the processing of intrinsic decoherence.