发表机构
Imperial College London（帝国理工学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对非可积量子系统经典模拟的困难，提出在有限区域内近似无穷温度关联函数并推导严格误差界，该方法在一维系统等场景中精确，且可为矩阵乘积算符等近似方法提供误差保证。
AI 中文摘要
非可积量子系统的精确经典模拟在超出小系统尺寸后迅速变得难以处理，然而其在预测多体动力学中起着核心作用。近似方法降低了这一代价，但通常缺乏对其与精确结果偏差的严格保证。对于无穷温度关联函数，我们推导了一个严格的误差界，用于在可计算的有限尺寸区域内近似完整动力学。应用于自关联函数时，这种有限区域方法在一维系统及其他系统中尤为精确，并且还能为其他近似方法提供严格的误差界，此处以矩阵乘积算符模拟为例进行了演示。
英文摘要
The exact classical simulation of non-integrable quantum systems rapidly becomes intractable beyond small system sizes, yet its role is central to predicting many-body dynamics. Approximate methods alleviate this cost but typically lack rigorous guarantees on their deviation from the exact result. For the infinite-temperature correlation function, we derive a rigorous error bound for approximating the full dynamics within a computable finite-sized region. Applied to autocorrelations, this finite-region approach is especially accurate across one-dimensional systems and beyond, and can further provide rigorous error bounds for other approximate methods, demonstrated here for matrix-product-operator simulations.
