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Main Authors: Zhao, Chongxiao, Ou, Qi, Li, Chenyang, Dou, Wenjie
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.11027
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author Zhao, Chongxiao
Ou, Qi
Li, Chenyang
Dou, Wenjie
author_facet Zhao, Chongxiao
Ou, Qi
Li, Chenyang
Dou, Wenjie
contents An implementation of stochastic resolution of identity (sRI) approximation to CC2 oscillator strengths as well as ground state analytical gradients is presented. The essential 4-index electron repulsion integrals (ERIs) are contracted with a set of stochastic orbitals on the basis of the RI technique and the orbital energy differences in the denominators are decoupled with the Laplace transform. These lead to a significant scaling reduction from O(N^5) to O(N^3) for oscillator strengths and gradients with the size of the basis set, N. The gradients need a large number of stochastic orbitals with O(N^3), so we provide an additional O(N^4) version with better accuracy and smaller prefactor by adopting sRI partially. Such steep computational acceleration of nearly two or one order of magnitude is very attractive for large systems. This work is an extension to our previous implementations of sRI-CC2 ground and excited state energies and shows the feasibility of introducing sRI to CC2 properties beyond energies.
format Preprint
id arxiv_https___arxiv_org_abs_2503_11027
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Stochastic resolution of identity to CC2 for large systems: Oscillator strength and ground state gradient calculations
Zhao, Chongxiao
Ou, Qi
Li, Chenyang
Dou, Wenjie
Chemical Physics
An implementation of stochastic resolution of identity (sRI) approximation to CC2 oscillator strengths as well as ground state analytical gradients is presented. The essential 4-index electron repulsion integrals (ERIs) are contracted with a set of stochastic orbitals on the basis of the RI technique and the orbital energy differences in the denominators are decoupled with the Laplace transform. These lead to a significant scaling reduction from O(N^5) to O(N^3) for oscillator strengths and gradients with the size of the basis set, N. The gradients need a large number of stochastic orbitals with O(N^3), so we provide an additional O(N^4) version with better accuracy and smaller prefactor by adopting sRI partially. Such steep computational acceleration of nearly two or one order of magnitude is very attractive for large systems. This work is an extension to our previous implementations of sRI-CC2 ground and excited state energies and shows the feasibility of introducing sRI to CC2 properties beyond energies.
title Stochastic resolution of identity to CC2 for large systems: Oscillator strength and ground state gradient calculations
topic Chemical Physics
url https://arxiv.org/abs/2503.11027