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  • Letter
  • Open Access

Anomalous dynamics and equilibration in the classical Heisenberg chain

Adam J. McRoberts1, Thomas Bilitewski1,2,3, Masudul Haque1,4,5, and Roderich Moessner1

  • 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, Dresden 01187, Germany
  • 2JILA, NIST, and Department of Physics, University of Colorado, Boulder, Colorado 80309, USA
  • 3Center for Theory of Quantum Matter, University of Colorado, Boulder, Colorado 80309, USA
  • 4Department of Theoretical Physics, Maynooth University, County Kildare, Ireland
  • 5Institut für Theoretische Physik, Technische Universität Dresden, Dresden 01062, Germany

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Phys. Rev. B 105, L100403 – Published 4 March, 2022

DOI: https://doi.org/10.1103/PhysRevB.105.L100403

Abstract

The search for departures from standard hydrodynamics in many-body systems has yielded a number of promising leads, especially in low dimensions. Here, we study one of the simplest classical interacting lattice models, the nearest-neighbor Heisenberg chain, with temperature as the 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.

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Phys. Rev. B 105, L100403– Published 4 March, 2022
  • Received 27 August 2021
  • Revised 14 February 2022
  • Accepted 22 February 2022
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

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