Hydrodynamic Limit for the Spin Dynamics of the Heisenberg Chain

TL;DR

This paper demonstrates through Quantum-Monte-Carlo simulations that the spin dynamics of the isotropic spin-1/2 antiferromagnetic chain exhibit diffusion at low energies and long wavelengths, aligning with recent theoretical predictions.

Contribution

It provides numerical evidence supporting the hydrodynamic limit of spin dynamics in the Heisenberg chain at finite temperatures.

Findings

Quantum-Monte-Carlo results confirm diffusive spin behavior.

Good agreement with recent theoretical predictions.

Supports the hydrodynamic description of spin transport.

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 wave-length limit and are in good agreement with recent predictions for this by J. Sirker, R. G. Pereira, and I. Affleck [arXiv:0906.1978v1].