Measurement-induced disturbance and negativity in mixed-spin XXZ model

Abstract

In this paper, we investigate the quantum phase transition (QTP) and quantum correlation in the one-dimensional mixed-spin (1/2, 1) XXZ model with Dzyaloshinskii---Moriya (DM) interaction under an inhomogeneous magnetic field. By controlling the strength of DM interaction and inhomogeneous magnetic field, we can change the phase transition points. The results show that the DM interaction plays an important role in improving the quantum correlation, which can be gained at higher temperature by choosing the proper strength of DM interaction. Moreover, the homogeneous magnetic field cannot change the critical temperature $$T_{c}$$Tc alone, while the inhomogeneous magnetic parameter $$b$$b can suppress the effects of temperature on negativity. In addition, we make an explicit comparison between the negativity and measurement-induced disturbance (MID) for this model and discover that MID is more robust than thermal entanglement against temperature $$T$$T and may reveal more properties about quantum correlations of the system than entanglement. Furthermore, in some circumstances, the MID can detect the critical points of quantum phase transition while the negativity cannot.