Asymmetry quantum steering of spins in an inhomogeneous magnetic field

Symmetry quantum correlations and their properties have been explored extensively in the solid spin-chain model previously. However, the asymmetric correlations, e.g. quantum steering, have attracted less attention in this context. In this work, we study quantum steering, based on the entropy uncertainty relation as a measure, in the XXZ Heisenberg model with an inhomogeneous magnetic field. The asymmetry feature of quantum steering is focused and analyzed in detail. The results show that inhomogeneous magnetic fields can always induce asymmetry steering. Meanwhile, quantum steering is suppressed with an increasing external magnetic field B or temperature T. Furthermore, we show that quantum steering is enhanced with an increasing anisotropy J _z while the asymmetry character disappears at the same time. (paper)