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PreprintCC BY 4.0arXiv

Finite-temperature spin diffusion in the two-dimensional XY model

Abstract

We present a combined theory-experiment study to quantify spin diffusion in the square lattice quantum spin-1/2 XY model at finite temperature. On the theory side, we leverage a recently developed dynamical high-temperature expansion method to faithfully capture the long spatiotemporal scales of the hydrodynamic regime. Experimental results are obtained from an optical lattice hard-core boson quantum simulator. The excellent agreement of spin diffusion constants marks a breakthrough in spin-transport beyond one dimension and for the quantitative validation of state-of-the-art quantum simulation platforms. We also provide theory predictions for future experiments on dynamic spin conductivity or anisotropy-induced integrability breaking.

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BibTeX
@misc{fitzner2026finitetemperature,
  title = {{Finite-temperature spin diffusion in the two-dimensional XY model}},
  author = {Erik Fitzner and Byungjin Lee and Junhyeok Hur and Minseok Kim and Benedikt Schneider and Jae-yoon Choi and Björn Sbierski},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2605.20124},
  eprint = {2605.20124},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.20124},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Finite-temperature spin diffusion in the two-dimensional XY model
AU  - Erik Fitzner
AU  - Byungjin Lee
AU  - Junhyeok Hur
AU  - Minseok Kim
AU  - Benedikt Schneider
AU  - Jae-yoon Choi
AU  - Björn Sbierski
PY  - 2026
DA  - 2026/08/28
PB  - arXiv
DO  - 10.48550/arxiv.2605.20124
UR  - https://arxiv.org/abs/2605.20124
AB  - We present a combined theory-experiment study to quantify spin diffusion in the square lattice quantum spin-1/2 XY model at finite temperature. On the theory side, we leverage a recently developed dynamical high-temperature expansion method to faithfully capture the long spatiotemporal scales of the hydrodynamic regime. Experimental results are obtained from an optical lattice hard-core boson quantum simulator. The excellent agreement of spin diffusion constants marks a breakthrough in spin-transport beyond one dimension and for the quantitative validation of state-of-the-art quantum simulation platforms. We also provide theory predictions for future experiments on dynamic spin conductivity or anisotropy-induced integrability breaking.
ER  -