Geometric Measures of Quantum Correlations in a Two-Qubit Heisenberg XXZ Model Under Multiple Interactions Effects

We investigate the dynamics of nonclassical correlations in a two-qubit one-dimensional XXZ Heisenberg spin-1/2 pair, which is subjected to the combined effect of Calogero-Moser (CM), Dzyaloshinsky-Moriya (DM), and Kaplan, Shekhtman, Entin-Wohlman and Aharony (KSEA) interactions under the influence of an external magnetic field. Using the Bures distance as a thermal entanglement quantifier and the trace distance discord (TDD) as nonclassical-correlation quantifier, we quantitatively measure the amount of quantum correlations in the corresponding thermal state of the two-qubit Heisenberg pair. Behaviors of the two geometric quantifiers are examined and analyzed in detail. We show that the characteristics of the quantum correlation quantifiers are strongly dependent on the magnitudes of the individual interactions, as well as on the magnetic field strength. Further, we observe that the quantum correlations in the two-qubit system can be adequately protected by tuning the amplitudes of the DM and KSEA interactions. We also found that both quantifiers behave similarly as a function of various parameters characterizing the system under consideration and that TDD can reveal some nonclassical correlations in the two-qubit Heisenberg XXZ spin pair that are not captured by the Bures norm entanglement.

Automated summary

This study investigates the dynamics of nonclassical correlations in a two-qubit one-dimensional XXZ Heisenberg spin-1/2 pair under the combined effect of Calogero-Moser (CM), Dzyaloshinsky-Moriya (DM), and Kaplan, Shekhtman, Entin-Wohlman and Aharony (KSEA) interactions, in the presence of an external magnetic field. The Bures distance is used to quantify thermal entanglement, while the trace distance discord (TDD) is used as a nonclassical correlation quantifier. The study reveals that the quantum correlations in the system depend on the magnitudes of the interactions and the magnetic field strength. Additionally, it is found that tuning the amplitudes of the DM and KSEA interactions can effectively protect the quantum correlations in the two-qubit system.