Entanglement and measurement-induced disturbance about two-qubit Heisenberg XYZ model. (English) Zbl 1298.82017
Summary: By taking into account the nonuniform magnetic field, quantum correlation behaviors measured by concurrence and measurement-induced disturbance (MID) about a two-qubit anisotropic Heisenberg XYZ model are investigated in detail. We mainly concentrate on the differences between the entanglement and MID with the changes of different self and external control parameters. It is found that the ground state of entanglement exists the revival phenomenon, while this revival phenomenon is not included in MID. This difference is also appeared in the case of the finite temperature. Moreover, we give out the reason why the ground state entanglement and MID can behave very differently, which the former occurs the revival phenomenon whereas the latter does not. Through studying the effects about different parameters on \(C\) and MID, it presents that their magnitudes can be evidently enhanced by properly tuning \(B\), \(b\) or adjusting the temperature. It also shows the situation which the entanglement is symmetrical with \(J_z\) while MID is monotonically decreased from one constant value.
MSC:
| 82B20 | Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics |
| 81P40 | Quantum coherence, entanglement, quantum correlations |
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