Damping-like effects in Heisenberg spin chain caused by the site-dependent bilinear interaction

Yu-Juan Zhang,Dun Zhao,Zai-Dong Li

Figure 4. Evolution of the polar angle θ(x, t) manipulated by the parameter β(t). (a) β(t) = 0; (b) β(t) = 1; (c) $\beta (t)=2\sin (t)$. The other parameters are ω1 = 1, ω2 = 1, α(t) = 1, γ(t) = 0, x ∈ [−10, 10], t ∈ [−5, 5].