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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.15933 |
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| _version_ | 1866913019178516480 |
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| author | Anand, Sajant Kemp, Jack Wei, Julia White, Christopher David Zaletel, Michael P. Yao, Norman Y. |
| author_facet | Anand, Sajant Kemp, Jack Wei, Julia White, Christopher David Zaletel, Michael P. Yao, Norman Y. |
| contents | Isotropic integrable spin chains such as the Heisenberg model feature superdiffusive spin transport belonging to an as-yet-unidentified dynamical universality class closely related to that of Kardar, Parisi, and Zhang (KPZ). To determine whether these results extend to more generic one-dimensional models, particularly those realizable in quantum simulators, we investigate spin and energy transport in non-integrable, long-range Heisenberg models using state-of-the-art tensor network methods. Despite the lack of integrability and the asymptotic expectation of diffusion, for power-law models (with exponent $2 < α< \infty$) we observe long-lived $z=3/2$ superdiffusive spin transport and two-point correlators consistent with KPZ scaling functions, up to times $t \sim 10^3/J$. We conjecture that this KPZ-like transport is due to the proximity of such power-law-interacting models to the integrable family of Inozemtsev models, which we show to also exhibit KPZ-like spin transport across all interaction ranges. Finally, we consider anisotropic spin models naturally realized in Rydberg atom arrays and ultracold polar molecules, demonstrating that a wide range of long-lived, non-diffusive transport can be observed in experimental settings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15933 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Robustness of Kardar-Parisi-Zhang-like transport in long-range interacting quantum spin chains Anand, Sajant Kemp, Jack Wei, Julia White, Christopher David Zaletel, Michael P. Yao, Norman Y. Quantum Physics Disordered Systems and Neural Networks Strongly Correlated Electrons Atomic Physics Isotropic integrable spin chains such as the Heisenberg model feature superdiffusive spin transport belonging to an as-yet-unidentified dynamical universality class closely related to that of Kardar, Parisi, and Zhang (KPZ). To determine whether these results extend to more generic one-dimensional models, particularly those realizable in quantum simulators, we investigate spin and energy transport in non-integrable, long-range Heisenberg models using state-of-the-art tensor network methods. Despite the lack of integrability and the asymptotic expectation of diffusion, for power-law models (with exponent $2 < α< \infty$) we observe long-lived $z=3/2$ superdiffusive spin transport and two-point correlators consistent with KPZ scaling functions, up to times $t \sim 10^3/J$. We conjecture that this KPZ-like transport is due to the proximity of such power-law-interacting models to the integrable family of Inozemtsev models, which we show to also exhibit KPZ-like spin transport across all interaction ranges. Finally, we consider anisotropic spin models naturally realized in Rydberg atom arrays and ultracold polar molecules, demonstrating that a wide range of long-lived, non-diffusive transport can be observed in experimental settings. |
| title | Robustness of Kardar-Parisi-Zhang-like transport in long-range interacting quantum spin chains |
| topic | Quantum Physics Disordered Systems and Neural Networks Strongly Correlated Electrons Atomic Physics |
| url | https://arxiv.org/abs/2602.15933 |