Recent Developments of World-Line Monte Carlo Methods

2003/12/31 by Naoki Kawashima, Kenji Harada · 7 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Algorithm #Artificial intelligence #Computer science #Hybrid Monte Carlo #Line (geometry) #Loop (graph theory) #Markov chain Monte Carlo #Mathematics #Monte Carlo algorithm #Monte Carlo method #Monte Carlo method in statistical physics #Perspective (graphical) #Physics #Quantum Monte Carlo #Spectroscopy and Quantum Chemical Studies #Statistical physics #Statistics #Theoretical and Computational Physics #Theoretical physics #World line #cond-mat.dis-nn

paper · pdf · doi:10.1143/jpsj.73.1379

published as J. Phys. Soc. Jpn. 73, 1379 (2004) · To appear in Journal of Physical Society of Japan

arxiv created 2004/04/29 · openalex publication_date 2004/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

World-line quantum Monte Carlo methods are reviewed with an emphasis on breakthroughs made in recent years. In particular, three algorithms -- the loop algorithm, the worm algorithm, and the directed-loop algorithm -- for updating world-line configurations are presented in a unified perspective. Detailed descriptions of the algorithms in specific cases are also given.

Citations

• A Quantum Monte Carlo Algorithm Realizing an Intrinsic Relaxation
• Simulations on Infinite-Size Lattices
• Néel and Spin-Peierls Ground States of Two-DimensionalSU(N)Quantum Antiferromagnets
• A generalization of Handscomb's quantum Monte Carlo scheme-application to the 1D Hubbard model
• Universal jump in the helicity modulus of the two-dimensional quantum XY model
• Quantum Monte Carlo algorithm for softcore boson systems
• Combination of improved multibondic method and the Wang-Landau method
• Multicanonical ensemble: A new approach to simulate first-order phase transitions
• Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet

Cited by

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• Numerical study oft2gorbital system with ferromagnetic polarization
• Equivariant Flow-Based Sampling for Lattice Gauge Theory
• Engineering local optimality in quantum Monte Carlo algorithms
• Flow-based sampling for fermionic lattice field theories
• Diffusion in the Continuous-Imaginary-Time Quantum World-Line Monte Carlo Simulations with Extended Ensembles
• Magnetic-field- and pressure-induced quantum phase transition inCsFeCl3proved via magnetization measurements