Quantum steering and quantum coherence in XY model with Dzyaloshinskii–Moriya interaction

We study the quantum steering and quantum coherence in the generalized XY model with Dzyaloshinskii–Moriya interaction. We find that both the two measurements (steerable weight and robustness of coherence, which are applied to qualify quantum steering and quantum coherence, respectively) can be applied to describe the quantum phase transition in this model. As the strength of Dzyaloshinskii–Moriya interaction increases, the phase transition characterized from the derivative of robustness of coherence becomes less significant. This is dramatically different from steerable weight. As the strength of Dzyaloshinskii–Moriya interaction increases, the identification of quantum phase transition from steerable weight becomes more accurate. In addition, numerical investigations show that a sufficiently large number of random measurements in each assemblage is important in the calculation of steerable weight and the identification of quantum phase transition.