Gaussian quantum Monte Carlo methods for fermions

Abstract

We introduce a new class of quantum Monte Carlo methods, based on a Gaussian quantum operator representation of fermionic states. The methods enable first-principles dynamical or equilibrium calculations in many-body Fermi systems, and, combined with the existing Gaussian representation for bosons, provide a unified method of simulating Bose-Fermi systems. As an application, we calculate finite-temperature properties of the two dimensional Hubbard model.

4 pages, 3 figures, Revised version has expanded discussion, simplified mathematical presentation, and application to 2D Hubbard model

References in corpus (6)

• Density Operators for Fermions
• Gauge P-representations for quantum-dynamical problems: Removal of boundary terms
• Gaussian quantum operator representation for bosons
• Stochastic gauges in quantum dynamics for many-body simulations
• Quantum dynamics with stochastic gauge simulations
• Exact pairing correlations in one-dimensional trapped fermions with stochastic mean-field wave-functions

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