Divide-and-Conquer Strong Correlation: How Embedding Transforms Exponential Walls into Engineering Problems

Abstract

The accurate quantum mechanical treatment of strongly correlated electrons represents one of the grand challenges in computational chemistry and materials science. This article examines how modern quantum embedding methods have fundamentally reframed this challenge, transforming an insurmountable exponential wall into a series of tractable engineering decisions. By partitioning large molecular systems into chemically critical fragments treated with high-level solvers such as the Density Matrix Renormalisation Group or selected configuration interaction methods, whilst embedding these fragments within environments described by efficient mean-field theories, researchers can now tackle problems that were previously beyond reach.