Time dependency of the spin-orbit interaction and magnetic field in the long-range Ising model

In this study, we have investigated a two-spin Ising model with added Dzyaloshinskii-Moriya (DM) interaction in an external magnetic field. We have considered two different initial states of the system and surveyed the time evolution of entanglement of the system for different parameters such as exchange coefficient, DM coefficient, and magnetic field. The Ising interaction has been considered as a function of distance between two spins. Moreover, both external magnetic field and DM interaction have been considered as a function of time. Under the time-dependent magnetic field and DM interaction, the entanglement of the two-spin system with long-range Ising model present the different dynamic behavior. This effect is strongly dependent on the initial state of the system.