Analyzing Negativity Criterion in Qubit-Qutrit System Located in External Magnetic Fields with the Dzyaloshinskii-Moriya Interaction

Abstract

This investigation delves into the intricate entanglement dynamics exhibited by qubit-qutrit systems when subjected to the intricate dynamics of both the XXX isotropic Heisenberg model and the anisotropic XYZ model. These models are enriched by the presence of Dzyaloshinskii-Moriya (DM) interactions and external magnetic fields, creating a complex interplay of quantum phenomena. The exploration commences by initializing the system in a superposition of spin-coherent states, setting the stage for a nuanced analysis of entanglement evolution over time. By employing the negativity metric as the pivotal criterion for assessing entanglement, we gain insights into the subtle relationships between DM interactions, external magnetic fields, and the entanglement dynamics within this composite system. Through this comprehensive investigation, we aim to unravel the intricate dynamics and behaviors that emerge from the interplay of these fundamental elements, shedding light on the underlying principles governing quantum entanglement in this context.