Dynamics of the entanglement in a two- spin system with long- range interaction

Introduction: In this study, we investigate the dynamics of the Entanglement in a two-spin system with long-range interaction. Method: For this purpose, we use negativity as the entanglement measurement. Using the time evolution operator, we obtain entanglement dynamics of the system at time t. We consider two different initial states and investigate the dynamical behavior of the system for all of them separately. Finally, we consider both J and D as a function of R and then study the time evolution of the entanglement in different R. Results: We find that in the long-range interaction, the R dependence of the dynamical behavior in the two systems is different. Depending on the initial states, the DM interaction and the magnetic field have no effect on the entanglement dynamics.

Keywords:

Entanglement dynamics , long range , negativity , Dzyaloshinskii-Moriya interaction , Magnetic field