2007/01/31 by Thomas Boyer, THOMAS BOYER, Wolfgang Bietenholz +3 · 6 citations
Computer Science · Physics and Astronomy · #Action (physics) #Chain (unit) #Classical XY model #Cluster (spacecraft) #Measure (data warehouse) #Physics of Superconductivity and Magnetism #Quantum Computing Algorithms and Architecture #Quantum computer #Quantum many-body systems #Spin (aerodynamics) #Work (physics) #cond-mat.stat-mech #hep-lat #physics.comp-ph
paper · pdf · doi:10.1142/s0129183107011510
published in International Journal of Modern Physics C 18(09), 1497-1511 (World Scientific) · 18 pages, 9 figures, published version
openalex publication_date 2007/09/01 · arxiv created 2007/11/23 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05
We apply a meron cluster algorithm to the XY spin chain, which describes a quantum rotor. This is a multi-cluster simulation supplemented by an improved estimator, which deals with objects of half-integer topological charge. This method is powerful enough to provide precise results for the model with a θ-term — it is therefore one of the rare examples, where a system with a complex action can be solved numerically. In particular we measure the correlation length, as well as the topological and magnetic susceptibility. We discuss the algorithmic efficiency in view of the critical slowing down. Due to the excellent performance that we observe, it is strongly motivated to work on new applications of meron cluster algorithms in higher dimensions.