### 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}-J_{2} 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 language | English |
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Pages (from-to) | 3494-3502 |

Number of pages | 9 |

Journal | Journal of the Physical Society of Japan |

Volume | 61 |

Issue number | 10 |

Publication status | Published - 1992 Oct |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*61*(10), 3494-3502.

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

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 61, no. 10, pp. 3494-3502.

}

TY - JOUR

T1 - Reweighting method for quantum Monte Carlo simulations with the negative-sign problem

AU - Nakamura, Tota

AU - Hatano, Naomichi

AU - Nishimori, Hidetoshi

PY - 1992/10

Y1 - 1992/10

N2 - 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.

AB - 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.

KW - J -J model

KW - Negative-sign problem

KW - Quantum Monte Carlo method

KW - Reweighting method

UR - http://www.scopus.com/inward/record.url?scp=21144461136&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21144461136&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:21144461136

VL - 61

SP - 3494

EP - 3502

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 10

ER -