TY - JOUR
T1 - Reweighting Method for Quantum Monte Carlo Simulations with the Negative-Sign Problem
AU - Nakamura, Tota
AU - Nishimori, Hidetoshi
AU - Hatano, Naomichi
PY - 1992/1
Y1 - 1992/1
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 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.
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 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.
KW - J1-J2 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
U2 - 10.1143/JPSJ.61.3494
DO - 10.1143/JPSJ.61.3494
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 -