Fate of diffusion under integrability breaking of classical integrable magnets

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Bibliographic Details
Main Authors:	Wang, Jiaozi, Nandy, Sourav, Kraft, Markus, Prosen, Tomaž, Steinigeweg, Robin
Format:	Preprint
Published:	2025
Subjects:	Statistical Mechanics
Online Access:	Acceder al recurso
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author	Wang, Jiaozi Nandy, Sourav Kraft, Markus Prosen, Tomaž Steinigeweg, Robin
author_facet	Wang, Jiaozi Nandy, Sourav Kraft, Markus Prosen, Tomaž Steinigeweg, Robin
contents	Diffusive transport is a ubiquitous phenomenon, yet the microscopic origin of diffusion in interacting physical systems remains a challenging question, irrespective of whether quantum effects are dominant or not. In this work, we study infinite temperature spin diffusion in a classical integrable, space-time discrete version of anisotropic Landau-Lifshitz magnet in the easy-axis regime, subjected to integrability-breaking perturbations. Our numerical results based on large-scale simulations reveal i) a sharp change in the spin diffusion constant as a function of perturbation strength in the thermodynamic limit and ii) a crossover from non-Gaussian to Gaussian statistics of magnetization transfer reflected in higher order cumulants under integrability breaking. Both our observations hint to the presence of non-trivial diffusion mechanism inherent to integrable systems.
format	Preprint
id	arxiv_https___arxiv_org_abs_2511_19110
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Fate of diffusion under integrability breaking of classical integrable magnets Wang, Jiaozi Nandy, Sourav Kraft, Markus Prosen, Tomaž Steinigeweg, Robin Statistical Mechanics Diffusive transport is a ubiquitous phenomenon, yet the microscopic origin of diffusion in interacting physical systems remains a challenging question, irrespective of whether quantum effects are dominant or not. In this work, we study infinite temperature spin diffusion in a classical integrable, space-time discrete version of anisotropic Landau-Lifshitz magnet in the easy-axis regime, subjected to integrability-breaking perturbations. Our numerical results based on large-scale simulations reveal i) a sharp change in the spin diffusion constant as a function of perturbation strength in the thermodynamic limit and ii) a crossover from non-Gaussian to Gaussian statistics of magnetization transfer reflected in higher order cumulants under integrability breaking. Both our observations hint to the presence of non-trivial diffusion mechanism inherent to integrable systems.
title	Fate of diffusion under integrability breaking of classical integrable magnets
topic	Statistical Mechanics
url	https://arxiv.org/abs/2511.19110

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