Investigating the evolution of quantum entanglement of a qubit-qubit system with Dzyaloshinskii-Moriya interaction in the presence of magnetic fields

This paper presents a detailed investigation into the quantum entanglement dynamics of a qubit-qubit compound system, specifically exploring its behavior within the framework of both the isotropic XXX Heisenberg model and the anisotropic XYZ model. The analysis also considers the presence of Dzyaloshinskii-Moriya interaction, particularly in the context of external magnetic fields. For the study, the initial state of the system is assumed to be a spin coherence state, which serves as a crucial starting point for understanding the entanglement properties. The dynamics of entanglement in this compound system are thoroughly analyzed using the negativity criterion, which is employed as a measure of entanglement. This approach allows for a comprehensive assessment of how the Dzyaloshinskii-Moriya interaction and varying magnetic fields influence the entanglement dynamics throughout the evolution of the system.