Characterizing quantum correlations dynamics in Heisenberg system with Dzyaloshinskii–Moriya interaction

In this paper, we investigate the dynamics of quantum correlation using a Heisenberg spin system in the presence of the Dzyaloshinskii–Moriya interaction (DM) and an external magnetic field. Indeed, quantum discord and its geometrical aspects, namely the trace and Hellinger distances, have been exploited in order to study quantum correlation evolution using the Lindblad master equation. A substantial enhancement in geometric quantum discord (GQD) is observed when the values of DM increase. Moreover, our results show that the geometric quantum discord undergoes a decrease in function of the external magnetic field; except for the small values, its maximum is reached. However, we find that strong values of the temperature have a destructive effect on the behavior of GQD.