Quantum steering in Heisenberg models with Dzyaloshinskii–Moriya interactions**Project supported by the National Natural Science Foundation of China (Grant Nos. 11504106, 11805065, 11247308, and 11447167) and the Fundamental Research Funds for the Central Universities, China (Grant Nos. 2018MS049 and 2018MS056).

Abstract

In this work, we study the quantum steering in two-qubit Heisenberg models with Dzyaloshinskii–Moriya (DM) interaction and an external magnetic field. We find that the steerable weight (SW) and the critical temperature where SW → 0 can be enhanced by the DM interactions. In the special case where the magnetic field is vanishing and the two spins are ferromagnetically coupled, the DM interaction can tune the zero-temperature SW from zero to a finite value. In addition to the SW, some other measurements used to identify the quantum entanglement and quantum correlations are investigated, i.e., the concurrence, the quantum discord, and the robustness of coherence. In the strong magnetic field limit, our results show that the SW is dramatically different from the other measurements.