No spin diffusion in the spin 1/2 XXZ chain at $T=\infty$: Numerical asymptotics

Abstract

We analyze the recent numerical computations made by Fabricius, L{\" o}w and Stolze to show that the long time behavior of the zz correlation function of the spin 1/2 XXZ chain at $T=\infty$ is very well fit by the formula $t^{-d}[A+Be^{-γ(t-t_0)}\cos Ω(t-t_0)]$ where $d$ is substantially greater than 1/2. This confirms the conclusion that there is no spin diffusion in this model.