A Comparison of the Concurrence and Measurement-Induced Disturbance in Two-Qubit Spin XY Model with Decoherence

Abstract

Using the concurrence (C) and measurement-induced disturbance (MID) criterions, the quantum correlation properties in two-qubit spin XY model with decoherence environment are investigated in detail. Firstly, the result show that the general feature of the quantum correlation evolutions is oscillating at the beginning time, then reach to the steady value of C and MID. Secondly, the obvious distinction of C and MID is that there is a entanglement sudden death(ESD) in C, but not in MID. One interesting result we must mention is that the time interval of ESD is influenced obviously by the anisotropic parameter Δ, it is prolonged evidently with the decrease of Δ, but it is nearly not effected by the external magnetic field B. Finally, we find that the effect of parameterB and Δ on the SC and SMID are too complicated to get an uniform law, through analyzing the property of the steady C (SC) and steady MID (SMID) values in the limit case t → ∞, we give the reason about it.