English

Matrix product states with large sites

Chemical Physics 2022-10-03 v2 Strongly Correlated Electrons Computational Physics Quantum Physics

Abstract

We explore various ways to group orbitals into clusters in a matrix product state (MPS). We explain how a generic cluster MPS can often lead to an increase in computational cost and instead propose a special cluster structure, involving only the first and last orbitals/sites, with a wider scope for computational advantage. This structure is a natural formalism to describe correlated multireference (MR) theories. We demonstrate the flexibility and usefulness of this approach by implementing various uncontracted MR configuration interaction, perturbation and linearized coupled cluster theories using an MPS with large cluster sites. Applications to the nitrogen dimer, the chromium dimer, and benzene, including up to triple excitations in the external space, demonstrate the utility of an MPS with up to two large sites. We use our results to analyze the quality of different multireference approximations.

Keywords

Cite

@article{arxiv.2109.11036,
  title  = {Matrix product states with large sites},
  author = {Henrik R. Larsson and Huanchen Zhai and Klaas Gunst and Garnet Kin-Lic Chan},
  journal= {arXiv preprint arXiv:2109.11036},
  year   = {2022}
}
R2 v1 2026-06-24T06:14:10.555Z