2003/12/26 by Chiaki Yamaguchi, Naoki Kawashima, Yutaka Okabe · 4 citations
Mathematics · Physics and Astronomy · #Complex Network Analysis Techniques #Density matrix #Lattice (music) #Mathematics #Monte Carlo method #Physics #Quantum #Quantum Monte Carlo #Quantum many-body systems #Quantum mechanics #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1143/jpsj.73.1728
published in Journal of the Physical Society of Japan 73(7), 1728-1733 (Physical Society of Japan) · 6 pages, 4 figures
arxiv created 2003/12/26 · openalex publication_date 2004/07/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose an efficient method for Monte Carlo simulation of quantum lattice models. Unlike most other quantum Monte Carlo methods, a single run of the proposed method yields the free energy and the entropy with high precision for the whole range of temperature. The method is based on several recent findings in Monte Carlo techniques, such as the loop algorithm and the transition matrix Monte Carlo method. In particular, we derive an exact relation between the DOS and the expectation value of the transition probability for quantum systems, which turns out to be useful in reducing the statistical errors in various estimates.