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Quantum phase-space simulations of fermions and bosons

P. D. Drummond·J. F. Corney
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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.

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P. D. Drummond, J. F. Corney. 2005-06-02. Quantum phase-space simulations of fermions and bosons. https://doi.org/10.1016/j.cpc.2005.03.091

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