Richardson-Gaudin geminal wavefunctions in a Slater determinant basis

TL;DR

This paper explains Richardson-Gaudin geminal wavefunctions within quantum chemistry, highlighting their potential to model strongly-correlated electrons efficiently using polynomial-cost approximations.

Contribution

It provides a detailed explanation of Richardson-Gaudin wavefunctions in the context of quantum chemistry, connecting them to conventional methods.

Findings

Richardson-Gaudin states can serve as variational ansatz for strongly-correlated electrons.

Geminal wavefunctions offer polynomial-cost approximations for complex electron correlations.

The paper bridges the gap between quantum chemistry and integrable models.

Abstract

Geminal wavefunctions have been employed to model strongly-correlated electrons. These wavefunctions represent products of weakly-correlated pairs of electrons and reasonable approximations are computable with polynomial cost. In particular, Richardson-Gaudin states have recently been employed as a variational ansatz. This contribution serves to explain the Richardson-Gaudin wavefunctions in the conventional language of quantum chemistry.