  In this study, we explore the dynamics of quantum entanglement using the
negativity criterion for the W_zeta quantum state. We investigate changes in
negativity in terms of anisotropy parameters, gamma, the strength of the
external magnetic field applied to the spin chain, eta, the triple interaction
strength, alpha. We examine how these parameters affect the entanglement
properties of the system and discuss the implications for quantum information
processing and quantum communication protocols. By analyzing the negativity of
the W_zeta state under different conditions, we gain insights into the
behaviour of entanglement in complex quantum systems. Our results shed light on
the intricate interplay between various factors that influence quantum
entanglement and provide a foundation for further investigations in this field
of research.
