Subdiffusive hydrodynamics of nearly integrable anisotropic spin chains

Jacopo De Nardis, Sarang Gopalakrishnan, Romain Vasseur, Brayden Ware

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13 Scopus citations


We address spin transport in the easy-axis Heisenberg spin chain subject to different integrability-breaking perturbations. We find subdiffusive spin transport characterized by dynamical exponent z = 4 up to a timescale parametrically long in the anisotropy. In the limit of infinite anisotropy, transport is subdiffusive at all times; for finite anisotropy, one eventually recovers diffusion at late times but with a diffusion constant independent of the strength of the perturbation and solely fixed by the value of the anisotropy. We provide numerical evidence for these findings, and we show how they can be understood in terms of the dynamical screening of the relevant quasiparticle excitations and effective dynamical constraints. Our results show that the diffusion constant of near-integrable diffusive spin chains is generically not perturbative in the integrability-breaking strength.

Original languageEnglish (US)
Article numbere2202823119
JournalProceedings of the National Academy of Sciences of the United States of America
Issue number34
StatePublished - Aug 23 2022
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General


  • quantum hydrodynamics
  • spin chains
  • spin transport
  • subdiffusion


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