Effect of the Dzyaloshinskii-Moriya interaction on the propagation velocity of the entanglement

It is known that the spin chains can be used to propagate pairwise entanglement. In particular, the time evolution of initial maximally entangled states was shown that the pairwise entanglement propagates with a velocity proportional to the exchange interaction in the spin-1/2 XX chains. Here, we add the Dzyaloshinskii-Moriya interaction in the spin-1/2 XX chain model and study the dynamics of the concurrence between nearest-neighbor spins. We show that the Dzyaloshinskii-Moriya interaction has a significant increasing effect on the velocity of propagation. In addition, extremum in derivative of the concurrence between two NN spins, exactly happen at times where each of these two spins will be entangled with NN of themselves. The effect of a phase factor is also investigated and the existence of an “optimal” value is confirmed.