Slow crossover from superdiffusion to diffusion in isotropic spin chains
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916513585299456 |
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| author | McCarthy, Catherine Gopalakrishnan, Sarang Vasseur, Romain |
| author_facet | McCarthy, Catherine Gopalakrishnan, Sarang Vasseur, Romain |
| contents | Finite-temperature spin transport in integrable isotropic spin chains (i.e., spin chains with continuous nonabelian symmetries) is known to be superdiffusive, with anomalous transport properties displaying remarkable robustness to isotropic integrability-breaking perturbations. Using a discrete-time classical model, we numerically study the crossover to conventional diffusion resulting from both noisy and Floquet isotropic perturbations of strength $λ$. We identify an anomalously-long crossover time scale $t_\star \sim λ^{-α}$ with $α\approx 6$ in both cases. We discuss our results in terms of a kinetic theory of transport that characterizes the lifetimes of large solitons responsible for superdiffusion. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18661 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Slow crossover from superdiffusion to diffusion in isotropic spin chains McCarthy, Catherine Gopalakrishnan, Sarang Vasseur, Romain Statistical Mechanics Finite-temperature spin transport in integrable isotropic spin chains (i.e., spin chains with continuous nonabelian symmetries) is known to be superdiffusive, with anomalous transport properties displaying remarkable robustness to isotropic integrability-breaking perturbations. Using a discrete-time classical model, we numerically study the crossover to conventional diffusion resulting from both noisy and Floquet isotropic perturbations of strength $λ$. We identify an anomalously-long crossover time scale $t_\star \sim λ^{-α}$ with $α\approx 6$ in both cases. We discuss our results in terms of a kinetic theory of transport that characterizes the lifetimes of large solitons responsible for superdiffusion. |
| title | Slow crossover from superdiffusion to diffusion in isotropic spin chains |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2402.18661 |