Zahra Noorinejad - Department of Physics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Mohammadreza Abolhassani - Department of Physics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Saeed Mahdavifar - Department of Physics, University of Guilan
Mansoure Ilkhani - Department of Physics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran

The present paper investigates the spin- XX model with three-spin interaction (TSI) from a view point of bipartite entanglement. The three-spin system is initially chosen by well-known W entangled state. By analyzing the time-dependency of the concurrence between the nearest and the next-nearest neighbor pair of spins, we show that where the quantum phase transition (QPT) of the infinite-size system might happen can be observed, even from short-time dynamics of such a finite spin system.

quantum entanglement, cluster interaction, concurrence, three-spin interaction, critical point