Richardson-Gaudin states of non-zero seniority II: Single-reference treatment of strong correlation

2025/06/11 by Paul A. Johnson, Johnson, Paul A. · 1 voice · 2 citations
Chemistry · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Physical and Chemical Molecular Interactions #Chemical Physics (physics.chem-ph) #FOS: Physical sciences #Quantum many-body systems #physics.chem-ph

paper · pdf · doi:10.48550/arxiv.2506.09379

openalex publication_date 2025/06/11 · arxiv published 2025/06/11 · arxiv updated 2025/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Strongly correlated systems are well described as a configuration interaction of Slater determinants classified by their number of unpaired electrons. This treatment is however unfeasible. In this manuscript, it is demonstrated that single reference methods built from Richardson-Gaudin states yield comparable results at polynomial cost.

Citations

• Composite Bosons Superposition Ansatz Approach to One-Dimensional Trapped Few-Fermion Systems
• Singlet Geminal Wavefunctions
• Beyond a Richardson-Gaudin mean-field: Slater-Condon rules and perturbation theory
• Richardson-Gaudin States
• Single reference treatment of strongly correlated H₄ and H₁₀ isomers with Richardson-Gaudin states
• 2D-Block Geminals: a non 1-orthogonal and non 0-seniority model with reduced computational complexity
• Reduced density matrices of Richardson-Gaudin states in the Gaudin\n algebra basis
• Richardson-Gaudin mean-field for strong correlation in quantum chemistry
• Benchmark of dynamic electron correlation models for seniority-zero wavefunctions and their application to thermochemistry
• Theory of Superconductivity
• Configuration interaction in orbital theories

Cited by

• Seniority-Zero Canonical Transformation Theory: Reducing Truncation Error with Late Truncation
• Connections between Richardson-Gaudin States, Perfect-Pairing, and Pair Coupled-Cluster Theory

Discussions

• Very short follow-up after the ridiculous part I. Short excitation-based CI of RG states converges quickly. (ordinarily, I'd reply to a post from @titouloos.bsky.social ) arxiv.org/abs/2506.09379 [bsky, 4 points, 1 comments]

Related

• Richardson-Gaudin states of non-zero seniority III: The Perfect-Pairing limit
• Richardson-Gaudin states of non-zero seniority I: matrix elements
• Beyond a Richardson-Gaudin mean-field: Slater-Condon rules and perturbation theory
• Richardson-Gaudin geminal wavefunctions in a Slater determinant basis
• Single reference treatment of strongly correlated H₄ and H₁₀ isomers with Richardson-Gaudin states