Tackling the Fermionic Sign Problem in the Auxiliary-Field Monte Carlo Method

TL;DR

This paper introduces a new, simple solution to the longstanding sign problem in the Auxiliary-field Monte Carlo method, enabling exact solutions for large quantum many-body systems with high accuracy.

Contribution

The authors present a novel approach that overcomes the sign problem in AFMC, allowing for precise solutions in complex nuclear many-body problems.

Findings

Excellent agreement between AFMC and exact CI calculations.

Successful application to realistic nuclear systems.

Potential to solve large-scale quantum many-body problems exactly.

Abstract

We explore a novel and straightforward solution to the sign problem that has plagued the Auxiliary-field Monte Carlo (AFMC) method applied to many-body systems for more than a decade. We present a solution to the sign problem that has plagued the Auxiliary-field Monte Carlo (AFMC) method for more than a decade and report a breakthrough where excellent agreement between AFMC and exact CI calculations for fully realistic nuclear applications is achieved. This result offers the capability, unmatched by other methods, to achieve exact solutions for large-scale quantum many-body systems.