Reweighting Method for Quantum Monte Carlo Simulations with the Negative-Sign Problem

Tota Nakamura, Hidetoshi Nishimori, Naomichi Hatano

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We propose a new method for quantum Monte Carlo simulations with the negative-sign problem. In the conventional method, one simulates a virtual system whose Boltzmann factors are the absolute values of the original one, and analyzes the data so that the correct expression for physical quantities may be recovered. We simulate a different virtual system with properties closer to the original system and yet without the negative-sign problem. Comparison between the present method and the conventional one is made for the antiferromagnetic Heisenberg model on the 4 x 4 square lattice with frustrations (J1-J2 model). We conclude that the present method is useful in the low-temperature region where the negative-sign problem becomes serious. It is also shown that the method is considerably efficient on the point that quantities for different parameters can be obtained in a single run.

Original languageEnglish
Pages (from-to)3494-3502
Number of pages9
Journaljournal of the physical society of japan
Volume61
Issue number10
DOIs
Publication statusPublished - 1992 Jan

Keywords

  • J1-J2 model
  • negative-sign problem
  • quantum Monte Carlo method
  • reweighting method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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