Quantum phase-space simulations of fermions and bosons

TL;DR

This paper presents a unified phase-space method for simulating fermionic and bosonic quantum systems, enabling first-principles calculations of dynamics and thermal states, including Fermi-Bose mixtures, without the sign problem.

Contribution

It introduces a Gaussian quantum operator representation that extends phase-space techniques to Fermi systems and mixtures, facilitating simulations of complex many-body quantum phenomena.

Findings

Successfully computed finite-temperature correlations in the Fermi Hubbard model.

Demonstrated the absence of the sign problem in simulations.

Extended phase-space methods to include Fermi-Bose mixtures.

Abstract

We introduce a unified Gaussian quantum operator representation for fermions and bosons. The representation extends existing phase-space methods to Fermi systems as well as the important case of Fermi-Bose mixtures. It enables simulations of the dynamics and thermal equilibrium states of many-body quantum systems from first principles. As an example, we numerically calculate finite-temperature correlation functions for the Fermi Hubbard model, with no evidence of the Fermi sign problem.