2014/11/30 by Mauro Iazzi, Matthias Troyer · 34 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Algorithm #Computer science #Hybrid Monte Carlo #Lattice (music) #Markov chain Monte Carlo #Mathematics #Monte Carlo method #Monte Carlo method in statistical physics #Monte Carlo molecular modeling #Physics #Physics of Superconductivity and Magnetism #Quantum Monte Carlo #Quantum and electron transport phenomena #Statistical physics #Statistics #cond-mat.stat-mech #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.91.241118
published in Physical Review B 91(24) (American Physical Society) · 6 pages, 3 figures
openalex publication_date 2015/06/30 · arxiv created 2015/07/01 · arxiv updated 2015/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Efficient continuous-time quantum Monte Carlo (CT-QMC) algorithms that do not suffer from time discretization errors have become the state of the art for most discrete quantum models. They have not been widely used yet for fermionic quantum lattice models, such as the Hubbard model, nor other fermionic lattice systems due to a suboptimal scaling of O(\ensuremathβ3) with inverse temperature \ensuremathβ, compared to the linear scaling of discrete-time algorithms. Here we present a CT-QMC algorithm for fermionic lattice systems that matches the scaling of discrete-time methods but is more efficient and free of time discretization errors. This provides an efficient simulation scheme that is free from the systematic errors opening an avenue to more precise studies of large systems at low and zero temperature.