Auxiliary-field quantum Monte Carlo method with seniority-zero trial wave function

Fuente: arXiv
Guardado en:
Detalles Bibliográficos
Autores principales: Yoshida, Yuichiro, Erhart, Luca, Murokoshi, Takuma, Nakagawa, Rika, Mori, Chihiro, Tagami, Hanae, Mizukami, Wataru
Formato: Preprint
Publicado: 2025
Materias:
Acceso en línea:
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
_version_ 1866918016714801152
author Yoshida, Yuichiro
Erhart, Luca
Murokoshi, Takuma
Nakagawa, Rika
Mori, Chihiro
Tagami, Hanae
Mizukami, Wataru
author_facet Yoshida, Yuichiro
Erhart, Luca
Murokoshi, Takuma
Nakagawa, Rika
Mori, Chihiro
Tagami, Hanae
Mizukami, Wataru
contents We present an approach that uses the doubly occupied configuration interaction (DOCI) wave function as the trial wave function in phaseless auxiliary-field quantum Monte Carlo (ph-AFQMC). DOCI is a seniority-zero method focused on electron pairs. Although DOCI considers much fewer electron configurations than the complete active space (CAS) configuration interaction method, it efficiently captures the static correlation, while the consequent ph-AFQMC recovers the dynamical correlation across all orbitals. We also explore an orbital-optimized version (OO-DOCI) to further improve accuracy. We test this approach on several chemical systems, including single O-H bond breaking in water and polymer additives. In these cases, OO-DOCI-AFQMC closely matches CAS-based ph-AFQMC and even outperforms coupled-cluster singles, doubles, and perturbative triples. However, for strongly correlated systems, such as the carbon dimer and multi-bond dissociation in hydrogen systems and water, the method's accuracy drops. This suggests that seniority-zero space models may be insufficient as trial wave functions in ph-AFQMC for strongly correlated systems, suggesting the need for trial wave functions in an extended space. Despite such a limitation, our study demonstrates that DOCI- and OO-DOCI-based ph-AFQMC can reduce the steep cost of CAS approaches, offering a path to accurate multi-reference calculations for larger, more complex systems.
format Preprint
id arxiv_https___arxiv_org_abs_2501_18937
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Auxiliary-field quantum Monte Carlo method with seniority-zero trial wave function
Yoshida, Yuichiro
Erhart, Luca
Murokoshi, Takuma
Nakagawa, Rika
Mori, Chihiro
Tagami, Hanae
Mizukami, Wataru
Chemical Physics
Strongly Correlated Electrons
We present an approach that uses the doubly occupied configuration interaction (DOCI) wave function as the trial wave function in phaseless auxiliary-field quantum Monte Carlo (ph-AFQMC). DOCI is a seniority-zero method focused on electron pairs. Although DOCI considers much fewer electron configurations than the complete active space (CAS) configuration interaction method, it efficiently captures the static correlation, while the consequent ph-AFQMC recovers the dynamical correlation across all orbitals. We also explore an orbital-optimized version (OO-DOCI) to further improve accuracy. We test this approach on several chemical systems, including single O-H bond breaking in water and polymer additives. In these cases, OO-DOCI-AFQMC closely matches CAS-based ph-AFQMC and even outperforms coupled-cluster singles, doubles, and perturbative triples. However, for strongly correlated systems, such as the carbon dimer and multi-bond dissociation in hydrogen systems and water, the method's accuracy drops. This suggests that seniority-zero space models may be insufficient as trial wave functions in ph-AFQMC for strongly correlated systems, suggesting the need for trial wave functions in an extended space. Despite such a limitation, our study demonstrates that DOCI- and OO-DOCI-based ph-AFQMC can reduce the steep cost of CAS approaches, offering a path to accurate multi-reference calculations for larger, more complex systems.
title Auxiliary-field quantum Monte Carlo method with seniority-zero trial wave function
topic Chemical Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2501.18937