arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2003.04446physics.chem-phcond-mat.str-elphysics.comp-phquant-ph
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核电子全粒子密度矩阵重整化群

Nuclear-Electronic All-Particle Density Matrix Renormalization Group

Andrea Muolo, Alberto Baiardi, Robin Feldmann, Markus Reiher

摘要:

介绍了同时求解电子和其它量子组分的非含时薛定谔方程的核电子全粒子密度矩阵重整化群(NEAP-DMRG)方法。与现有的多组分方法相比,在这项工作中,我们从一开始就构建了一个多参考试验波函数与随机优化的非正交高斯轨道。通过对高斯函数的位置和宽度的迭代精化,我们得到了多分量波函数的紧致多参考展开式。我们将DMRG算法扩展到多组分波函数,以考虑物种间和物种内的相关性效应。作为一个矩阵产品状态的总波函数的有效参数化允许NEAP-DMRG准确地近似全组态相互作用能的分子系统与三个以上的核和12个粒子的总数,这是目前其他多组分方法的一个主要挑战。我们提出了两个少体系统的NEAP-DMRG结果,即,H $_2$和H $_3^+$,以及一个更大的系统,即BH $_3$

英文摘要:

We introduce the Nuclear Electronic All-Particle Density Matrix Renormalization Group (NEAP-DMRG) method for solving the time-independent Schrödinger equation simultaneously for electrons and other quantum species. In contrast to already existing multicomponent approaches, in this work we construct from the outset a multi-reference trial wave function with stochastically optimized non-orthogonal Gaussian orbitals. By iterative refining of the Gaussians' positions and widths, we obtain a compact multi-reference expansion for the multicomponent wave function. We extend the DMRG algorithm to multicomponent wave functions to take into account inter- and intra-species correlation effects. The efficient parametrization of the total wave function as a matrix product state allows NEAP-DMRG to accurately approximate full configuration interaction energies of molecular systems with more than three nuclei and twelve particles in total, which is currently a major challenge for other multicomponent approaches. We present NEAP-DMRG results for two few-body systems, i.e., H$_2$ and H$_3^+$, and one larger system, namely BH$_3$

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