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arXiv 1809.04600physics.chem-phphysics.comp-phquant-ph
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快速半随机热浴组态相互作用

Fast Semistochastic Heat-Bath Configuration Interaction

Junhao Li, Matt Otten, Adam A Holmes, Sandeep Sharma, Cyrus J. Umrigar

摘要:

本文详细介绍了求解多体薛定谔方程的快速半随机热浴组态相互作用(SHCI)方法。我们识别并消除了SHCI算法的变分步骤和微扰步骤中的计算瓶颈。我们还描述了并行化和关键的数据结构,在我们的实现,如分布式哈希表。改进的SHCI算法使我们能够包括在我们的变分波函数两个数量级以上的决定因素比以前报道的其他选定的配置相互作用方法。我们使用我们的算法来计算一个准确的基准能量的铬二聚体与X2 C相对论哈密顿量在cc-pVDZ-DK基础上,相关的28个电子在76个空间轨道。我们最大的计算在变分空间中使用了20亿个斯莱特行列式,而半随机数包括来自至少数万亿个额外行列式的微扰贡献,这些行列式的统计不确定性优于10微哈特里。

英文摘要:

This paper presents in detail our fast semistochastic heat-bath configuration interaction (SHCI) method for solving the many-body Schrodinger equation. We identify and eliminate computational bottlenecks in both the variational and perturbative steps of the SHCI algorithm. We also describe the parallelization and the key data structures in our implementation, such as the distributed hash table. The improved SHCI algorithm enables us to include in our variational wavefunction two orders of magnitude more determinants than has been reported previously with other selected configuration interaction methods. We use our algorithm to calculate an accurate benchmark energy for the chromium dimer with the X2C relativistic Hamiltonian in the cc-pVDZ-DK basis, correlating 28 electrons in 76 spatial orbitals. Our largest calculation uses two billion Slater determinants in the variational space, and semistochastically includes perturbative contributions from at least trillions of additional determinants with better than 10 microhartree statistical uncertainty.

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