Abstract
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.