Remedy for the fermion sign problem in the diffusion Monte Carlo method for few fermions with antisymmetric diffusion process

Mishchenko, Y. (February 2006) Remedy for the fermion sign problem in the diffusion Monte Carlo method for few fermions with antisymmetric diffusion process. Phys Rev E Stat Nonlin Soft Matter Phys, 73 (2 Pt 2). 026706. ISSN 1539-3755 (Print)

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URL: https://www.ncbi.nlm.nih.gov/pubmed/16605482
DOI: 10.1103/PhysRevE.73.026706

Abstract

We suggest an exact approach to help remedy the fermion sign problem in diffusion quantum Monte Carlo simulations. The approach is based on an explicit suppression of symmetric modes in the Schrodinger equation by means of a modified stochastic diffusion process (antisymmetric diffusion process). We introduce this algorithm and illustrate it on potential models in one dimension (1D) and show that there it solves the fermion sign problem exactly and converges to the lowest antisymmetric state of the system. Then, we discuss extensions of this approach to many-dimensional systems on examples of quantum oscillator in 2D-20D and a toy model of three and four fermions on harmonic strings in 2D and 3D. We show that in all these cases our method shows a performance comparable to that of a fixed-node approximation with an exact node.

Item Type: Paper
Subjects: bioinformatics > quantitative biology
bioinformatics > quantitative biology > schrodinger equation
CSHL Authors:
Communities: CSHL labs > Chklovskii lab
Depositing User: CSHL Librarian
Date: February 2006
Date Deposited: 12 Dec 2011 19:25
Last Modified: 19 Apr 2018 18:55
Related URLs:
URI: http://repository.cshl.edu/id/eprint/22863

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