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Multilevel blocking approach to the fermion sign problem in path-integral Monte Carlo simulations

C. H. Mak·R. Egger·H. Weber-Gottschick
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Abstract

A general algorithm toward the solution of the fermion sign problem in finite-temperature quantum Monte Carlo simulations has been formulated for discretized fermion path integrals with nearest-neighbor interactions in the Trotter direction. This multilevel approach systematically implements a simple blocking strategy in a recursive manner to synthesize the sign cancellations among different fermionic paths throughout the whole configuration space. The practical usefulness of the method is demonstrated for interacting electrons in a quantum dot.

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C. H. Mak, R. Egger, H. Weber-Gottschick. 1998-10-01. Multilevel blocking approach to the fermion sign problem in path-integral Monte Carlo simulations. https://doi.org/10.1103/physrevlett.81.4533

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