2004/10/27 by W. F. Oquendo, Oquendo, W. F., J. D. Munoz +2
Physics and Astronomy · #FOS: Physical sciences #Quantum many-body systems #Statistical Mechanics (cond-mat.stat-mech) #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.cond-mat/0410710
5 pages, 4 figures, 1 table,(gzipped tar file)
openalex publication_date 2004/10/27 · arxiv created 2005/08/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In a recent work, M. Troyer, F. Alet and S. Wessel \citebrazilean proposed a way to extend histogram methods to quantum systems in the World Line Quantum Monte Carlo (WLQMC) formulation. The strategy, also proposed in \citejosedaniel, allows to compute quantum averages on a narrow temperature range from a single Monte Carlo run at fixed temperature. This is achieved by fixing N, the number of temporal divisions in the Trotter-Suzuki expansion of WLQMC, and by changing ε=1/(N \kb T). In this work we apply this strategy to construct a single histogram Monte Carlo method for a canonical ensemble of one-dimensional quantum harmonic oscillators and we explore its accuracy limits. We obtain that fixing N imposses a limit of minimal temperature to the properly performance of the method, which is Tmin=1.9(2)N-0.80(6) in our example. This limit is a consequence of the fact that the Trotter-Suzuki expansion fails for large ε values, and, therefore, should be taken into account in all applications of this histogram method for quantum systems.