Anomalous dynamics and equilibration in the classical Heisenberg chain
Date
2021-08-26Author
Mcroberts, Adam J.
Bilitewski, Thomas
Haque, Masudul
Moessner, Roderich
Metadata
Show full item recordAbstract
The search for departures from standard hydrodynamics in many-body systems has yielded a number of promising leads, especially in low dimension. Here we study one of the simplest classical interacting lattice models, the nearest-neighbour Heisenberg chain, with temperature as tuning parameter. Our numerics expose strikingly different spin dynamics between the antiferromagnet, where it is largely diffusive, and the ferromagnet, where we observe strong evidence either of spin superdiffusion or an extremely slow crossover to diffusion. This difference also governs the equilibration after a quench, and, remarkably, is apparent even at very high temperatures.
Citation
McRoberts, A.J., Bilitewski, T., Haque, M., Moessner, R. (2021). Anomalous Dynamics and Equilibration in the Classical Heisenberg Chain.