KPZ-like transport in long-range interacting spin chains proximate to integrability

• URL: http://arxiv.org/abs/2602.15933v1
• Date: Tue, 17 Feb 2026 19:00:02 GMT
• Title: KPZ-like transport in long-range interacting spin chains proximate to integrability
• Authors: Sajant Anand, Jack Kemp, Julia Wei, Christopher David White, Michael P. Zaletel, Norman Y. Yao,
• Abstract summary: We investigate spin and energy transport in non-integrable, long-range Heisenberg models using state-of-the-art tensor network methods.<n>For power-law models we observe long-lived $z=/2$ superdiffusive spin transport and two-point exponents consistent with KPZ scaling functions.<n>We consider anisotropic spin models naturally realized in Rydberg atom arrays and ultracold polar molecules.
• Score: 0.5049396396929828
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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