Entanglement evolution of one-dimensional spin systems in external magnetic fields
Zhen Huang, Sabre Kais · Physical Review A · 2006
We study the dynamics of entanglement for a one-dimensional spin system, where spins are coupled through nearest-neighbor exchange interaction and subject to different external magnetic fields. First we examine the system size effect on the entanglement with three different external magnetic fields changing with time $t$: an exponential function ${e}^{[\ensuremath{-}Kt]}$ and two periodic $\mathrm{sin}[Kt]$ and $\mathrm{cos}[Kt]$ functions, where $K$ is a control parameter. We have found that the entanglement fluctuates shortly after a disturbance by an external magnetic field when the system size is small. For larger system size, the entanglement reaches a stable state for a long time before it fluctuates. However, this fluctuation of entanglement disappears when the system size goes to infinity. We also show that in a periodic external magnetic field, the nearest-neighbor entanglement displays a periodic structure with a period related to that of the magnetic field. Moreover, changing the direction of the magnetic field will destroy the concurrence in the system.