Dynamics of Quantum Correlation in a Two-qutrit Heisenberg XXZ Model with Heitler-London and Dzyaloshinskii-Moriya Couplings

Abstract

This study investigates the dynamics of quantum coherence and entanglement in the spin-1 Heisenberg XXZ model. Particularly, the effects of the Heitler-London (HL) coupling and the Dzyaloshinskii-Moriya (DM) interaction are examined. By utilizing tools from quantum information theory, the concept of quantum correlated coherence and negativity are explored. The results show intrinsic decoherence leads to a decay of both correlated coherence and negativity. Interestingly, it is found that a small value of the Dzyaloshinskii-Moriya interaction can significantly enhance coherence and entanglement. Various factors influence the system dynamics, including the initial state, anisotropy parameter, and the coupling distance between spins. It is shown that, by fixing the anisotropy parameter, the isotropic Heisenberg models XX and XXX can be easily recovered. Ultimately, the findings highlight that the system maintains a coherent temporal evolution despite decoherence.