arXiv:2601.20228physics.chem-phcond-mat.stat-mech2026-01

用生成模型从经典模拟数据恢复量子统计,速度快且可跨温度迁移。

Quantum statistics from classical simulations via generative Gibbs sampling

  • 用生成模型学习单粒子条件分布,结合吉布斯采样重构量子态。
  • 在标准测试体系上比路径积分分子动力学快数倍,节省大量计算时间。
  • 适合需要快速获取量子效应的分子模拟研究者,尤其关注效率与泛化能力。

精确模拟核量子效应对分子建模至关重要,但路径积分分子动力学(PIMD)计算成本高。本文提出基于环聚合物的GG-PI框架,通过生成模型学习单粒子条件密度,并结合吉布斯采样,从经典模拟数据中恢复量子统计特性。该方法利用廉价的标准经典模拟或已有数据进行训练,无需重新训练即可跨温度迁移。在标准测试系统上,GG-PI显著缩短了实际运行时间,相比传统PIMD有明显加速。本方法具有良好的扩展性,适用于具有类似马尔可夫结构的多种问题。

原文摘要 · Abstract (English)

Accurate simulation of nuclear quantum effects is essential for molecular modeling but expensive using path integral molecular dynamics (PIMD). We present GG-PI, a ring-polymer-based framework that combines generative modeling of the single-bead conditional density with Gibbs sampling to recover quantum statistics from classical simulation data. GG-PI uses inexpensive standard classical simulations or existing data for training and allows transfer across temperatures without retraining. On standard test systems, GG-PI significantly reduces wall clock time compared to PIMD. Our approach extends easily to a wide range of problems with similar Markov structure.

量子模拟生成模型分子动力学高效计算

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