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Sign Learning Kink-based (SiLK) Quantum Monte Carlo for Molecular Systems

  • Xiaoyao Ma
  • , Randall W. Hall
  • , Frank Loffler
  • , Karol Kowalski
  • , Kiran Bhaskaran-Nair
  • , Mark Jarrell
  • , Juana Moreno

Research output: Contribution to journalArticlepeer-review

Abstract

The Sign Learning Kink (SiLK) based Quantum Monte Carlo (QMC) method is used to calculate the ab initioground state energies for multiple geometries of the H2O, N2, and F2 molecules. The method is based on Feynman’s path integral formulation of quantum mechanics and has two stages. The first stage is called the learning stage and reduces the well-known QMC minus sign problem by optimizing the linear combinations of Slater determinants which are used in the second stage, a conventional QMC simulation. The method is tested using different vector spaces and compared to the results of other quantum chemical methods and to exact diagonalization. Our findings demonstrate that the SiLK method is accurate and reduces or eliminates the minus sign problem.

Original languageAmerican English
Article number014101
Pages (from-to)014101
JournalThe Journal of Chemical Physics
Volume144
Issue number1
StatePublished - Jan 7 2016

Funding

FundersFunder number
National Science Foundation
Office of the Director1003897

    ASJC Scopus Subject Areas

    • General Physics and Astronomy
    • Physical and Theoretical Chemistry

    Keywords

    • natural fibers
    • chemical bonds
    • excited states
    • ground states
    • ab initio calculations

    Disciplines

    • Chemistry
    • Physical Chemistry
    • Physics

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