对Jastrow因子的决定性优化
Maria-Andreea Filip1,2, Evelin Martine Corvid Christlmaier1, J Philip Haupt1
1Max Planck Institute for Solid State Research, Heisenbergstr. 1, 70569 Stuttgart, Germany.
The Journal of chemical physics
|August 25, 2025
概括
这项研究引入了优化Jastrow因子的确定性方法,这对于精确的量子化学计算至关重要. 这种无噪声的方法提高了电子结构计算,特别是在弱相互作用方面.
科学领域:
- 量子化学
- 计算物理
- 电子结构理论
背景情况:
- 在变量蒙特卡洛 (VMC) 和跨相关 (TC) 方法中,Jastrow因子对于精确的电子结构至关重要.
- 使用VMC优化Jastrow因子可能会引入噪声,阻碍弱相互作用的计算.
- 目前的TC方法达到高精度,但面临VMC衍生的Jastrow噪声的挑战.
研究的目的:
- 开发用于Jastrow因子优化的VMC的确定性替代方案.
- 消除Jastrow因子中的噪音,以提高TC和VMC计算的准确性.
- 为优化Jastrow函数提供可重现的方法.
主要方法:
- 在标准基数中最大限度地减少TC参考能量的变化.
- 导出和实施TC哈密尔顿矩阵元素的分析表达式.
- 将该方法应用于第一排原子和分子.
主要成果:
- 确定性方法产生无噪声的Jastrow因子.
- 优化的Jastrow函数产生低方差的Slater-Jastrow波函数.
- 与VMC能源最小化相比,该方法实现了较低的能量,与TC方法相比.
- 结果是可重现的,可以与VMC差异优化进行比较.
结论:
- 提出的确定性方法为Jastrow优化提供了一个可行的,无噪声的替代方案.
- 这种方法提高了跨相关方法和标准VMC的准确性.
- 它提供了一种可复制和有效的方法来完善用于电子结构计算的Jastrow函数.
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