Reweighting method for quantum Monte Carlo simulations with the negative-sign problem

Tota Nakamura, Naomichi Hatano, Hidetoshi Nishimori

Research output: Contribution to journalArticle

15 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 4×4 square lattice with frustrations (J 1-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
Publication statusPublished - 1992 Oct
Externally publishedYes

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Keywords

  • J -J model
  • Negative-sign problem
  • Quantum Monte Carlo method
  • Reweighting method

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Reweighting method for quantum Monte Carlo simulations with the negative-sign problem. / Nakamura, Tota; Hatano, Naomichi; Nishimori, Hidetoshi.

In: Journal of the Physical Society of Japan, Vol. 61, No. 10, 10.1992, p. 3494-3502.

Research output: Contribution to journalArticle

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