J. Phys. Soc. Jpn. 73 (2004) pp. 1728-1733  |Next Article|  |Table of Contents|
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Transition-Matrix Monte Carlo Method for Quantum Systems

Chiaki Yamaguchi, Naoki Kawashima¹ and Yutaka Okabe¹

(Received December 25, 2003)

We propose an efficient method for Monte Carlo simulation of quantum lattice models by generalizing the method [Phys. Rev. E 66 (2002) 036704] proposed for classical models by the present authors. In particular, we derive an exact relation between the density of states and the microcanonical averages of some macroscopic quantities. The simulation method consists of the graph construction by the loop/cluster algorithm and the estimation of the density of states by the relation. While there may be a few variants for the graph construction, we consider the one proposed by Troyer et al. [Phys. Rev. Lett. 90 (2003) 120201]. The performance of the method is examined for S=1/2 antiferromagnetic Heisenberg chain, and compared with other algorithms. ©2004 The Physical Society of Japan

KEYWORDS: Monte Carlo method, quantum lattice model, loop algorithm, extended ensemble method, free energy
URL: http://jpsj.ipap.jp/link?JPSJ/73/1728/
DOI: 10.1143/JPSJ.73.1728

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