Influence of Dzyaloshinskii–Moriya interaction on measurement-induced disturbance in a mixed-spin Heisenberg XXZ model with an inhomogeneous magnetic field

Abstract In this paper, by comparing with the thermal entanglement measured by negativity ( N ), we investigate the measurement-induced disturbance ( MID ) in a mixed-spin (1/2, 3/2) Heisenberg XXZ model with Dzyaloshinskii–Moriya (DM) interaction and an inhomogeneous external magnetic field. We make a comparison between MID and N , and find that their behaviors present obvious differences following the changes of the exchange constant J , DM interaction D , the uniform magnetic field B and the inhomogeneity of magnetic field b . It is found that J and D broaden the region of MID . At the same time, we notice that, for the case of small D , MID can detect the quantum phase transition near J =0, but not for N . It is also observed that DM interaction and the inhomogeneous external magnetic field play competing roles in enhancing the N and MID in our system. Moreover, we also note D is a more efficient parameter than B and b when adjusting MID under the higher temperature. In addition, we discover that, for the same parameters, the region of MID in our system is larger than the result in mixed-spin (1/2, 1) system.