  We study the dynamics of entanglement in the one-dimensional spin-1/2 XY
model in the presence of a transverse magnetic field. A pair of spins are
considered as an open quantum system, while the rest of the chain plays the
role of the environment. Our study focuses on the pair of spins in the system,
the edge spins, and the environment. It is observed that the entanglement
between the pair of spins in the system decreases and it can transfer to the
rest of the spins. For a value of anisotropy leading to the Ising model, the
entanglement is completely back to the system by passing time. On the other
hand, the entanglement can only be seen under certain conditions between edge
spins of the system and the environment. The pair of spins on the edge will be
entangled very quickly and it will disappear after a very short time. A pair of
spins far from the system was chosen to examine the behavior of entanglement in
the environment. As expected, the transmission of entanglement from the system
to the environment takes notable time.

Statistical Mechanics;Strongly Correlated Electrons