Hydrodynamic limit for the spin dynamics of the Heisenberg chain from quantum Monte Carlo calculations

Abstract

We show that quantum Monte Carlo calculations of the dynamic structure factor of the isotropic-spin-1/2 antiferromagnetic chain at intermediate temperatures corroborate a picture of diffusive spin dynamics at finite frequencies in the low-energy long-wavelength limit and are in good agreement with recent predictions for this by Sirker et al. [Phys. Rev. Lett. 103, 216602 (2009)].