Kardar-Parisi-Zhang型输运的鲁棒性研究：长程相互作用量子自旋链
Robustness of Kardar-Parisi-Zhang-like transport in long-range interacting quantum spin chains
AI总结：
研究长程相互作用量子自旋链中非积分模型的自旋与能量输运，发现KPZ型超扩散行为，揭示其与Inozemtsev模型的关联。
摘要：
各向同性可积自旋链如Heisenberg模型表现出属于未确定动力学普遍类别的超扩散自旋输运，与Kardar-Parisi-Zhang（KPZ）类相关。为确定这些结果是否扩展到更通用的一维模型，特别是可由量子模拟器实现的模型，我们利用最先进的张量网络方法研究非可积、长程Heisenberg模型中的自旋和能量输运。尽管缺乏可积性和渐近扩散的预期，对于幂律模型（指数2 < α < ∞），我们观察到长寿命z=3/2超扩散自旋输运和与KPZ缩放函数一致的两点相关函数，直到时间t ~ 10^3/J。我们推测这种KPZ型输运是由于这些幂律相互作用模型接近可积的Inozemtsev模型家族，我们证明这些模型在所有相互作用范围内也表现出KPZ型自旋输运。最后，我们考虑在Rydberg原子阵列和超冷极性分子中自然实现的各向异性自旋模型，证明在实验设置中可以观察到广泛的长寿命非扩散输运。
英文摘要：
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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