Entanglement Dynamics in the System of Two Spin-1/2 Particles with Ising Interaction and Time-Dependent Dzyaloshinskii-Moriya Interaction

In this paper, the dynamics of the spin-1/2 Ising model with added DM interaction is studied. We assume DM interaction is a function of the time. We consider one of the Bell states as an initial state. The concurrence is used to analyze the entanglement between two spins. It is found that in the absence of the DM interaction, the entanglement maintains its maximum value. By raising DM interaction, the fluctuations of the entanglement increase. If the DM interaction varies with time, the dynamic behavior of the entanglement will be different. By increasing the amplitude of sinusoidal DM interaction, the entanglement fluctuations will be in the opposite phase in the short term. The combination of the constant and time-dependent DM interactions makes the system generates a series of entanglement revival and collapse phenomena over the time. Increasing the angular frequency of the DM interaction changes the order of the entanglement oscillations and strongly increases the oscillations’ speed.