Density matrix renormalization group in the discrete variable representation basis

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1. Verfasser: Gu, Bing
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Veröffentlicht: 2024
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author Gu, Bing
author_facet Gu, Bing
contents We present a numerical implementation of the density matrix renormalization group (DMRG) using the discrete variable representation (DVR) basis set. One main advantage of using the local DVR basis sets is that the computations of one-electron integral and two-electron repulsion integrals are drastically simplified. For comparison, we further implemented DVR complete active space configuration interaction (CASCI) using canonical molecular orbitals. These methods are applied to a one-dimensional pseudo-hydrogen chain under screened Coulomb potential. The DMRG ground state energy agrees with CASCI up to 0.1 mEh with a very small number of bond dimensions.
format Preprint
id arxiv_https___arxiv_org_abs_2411_07477
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Density matrix renormalization group in the discrete variable representation basis
Gu, Bing
Quantum Physics
Chemical Physics
We present a numerical implementation of the density matrix renormalization group (DMRG) using the discrete variable representation (DVR) basis set. One main advantage of using the local DVR basis sets is that the computations of one-electron integral and two-electron repulsion integrals are drastically simplified. For comparison, we further implemented DVR complete active space configuration interaction (CASCI) using canonical molecular orbitals. These methods are applied to a one-dimensional pseudo-hydrogen chain under screened Coulomb potential. The DMRG ground state energy agrees with CASCI up to 0.1 mEh with a very small number of bond dimensions.
title Density matrix renormalization group in the discrete variable representation basis
topic Quantum Physics
Chemical Physics
url https://arxiv.org/abs/2411.07477