AI 中文总结
研究利用泡利传播计算量子系统实时关联函数，针对其泡利字符串数量增长问题，结合短时间数据与时间扩展方法，避免指数增长，保留相关信息，拓宽经典方法探测量子多体系统实时动力学范围。
AI 中文摘要
泡利传播在通过直接在海森堡绘景中演化可观测量来经典模拟量子动力学方面显示出前景。本文研究其在计算一维和二维量子系统实时两点时间排序关联函数中的应用。泡利传播的一个主要限制是泡利字符串数量在短时间后迅速增长。我们通过将精确的短时间泡利传播数据与基于正性条件以及动力学常由少数特征频率主导这一观察结果的时间扩展方法相结合来克服此限制。这种组合方法扩展了关联函数，避免了泡利算符的指数级增长，同时保留了相关动力学和光谱信息。我们的结果拓宽了经典方法可靠探测相互作用量子多体系统实时动力学的范围。
英文摘要
Pauli propagation has shown promise for classically simulating quantum dynamics by evolving observables directly in the Heisenberg picture. In this work, we investigate its use for computing real-time two-point time-ordered correlators in one- and two-dimensional quantum systems. One major limitation of Pauli propagation is the rapid growth in the number of Pauli strings beyond short times. We overcome this limitation by combining accurate short-time Pauli-propagation data with time extension methods based on a positivity condition and the observation that the dynamics are often dominated by a small number of characteristic frequencies. This combined approach extends correlation functions far beyond the directly accessible time window while avoiding the exponential proliferation of Pauli operators. We demonstrate that the resulting correlators retain the relevant dynamical and spectral information. Our results broaden the regime in which classical methods can reliably probe the real-time dynamics of interacting quantum many-body systems.
Comments6 figures, 8 pages
