Assessing the accuracy of projected entangled-pair states on infinite lattices

2009/05/31 by Bela Bauer, Guifre Vidal, Guifré Vidal +1 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #cond-mat.str-el

paper · pdf · doi:10.1088/1742-5468/2009/09/p09006

published as J. Stat. Mech. (2009) P09006 · 18 pages, 12 figures. Revised version with clarifications and additional discussion. Accepted for publication in Journal of Statistical Mechanics: Theory and Experiment

arxiv created 2009/08/07 · openalex publication_date 2009/09/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Generalizations of the density matrix renormalization group method have long been sought after. In this paper, we assess the accuracy of projected entangled-pair states on infinite lattices by comparing with quantum Monte Carlo results for several non-frustrated spin- systems. Furthermore, we apply the method to a frustrated quantum system.

Citations

• Quantum phase transitions in the two-dimensional hardcore boson model
• Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems
• Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
• The Density Matrix Renormalization Group, Quantum Groups and Conformal Field Theory
• Tensor Product Variational Formulation for Quantum Systems
• Area laws for the entanglement entropy - a review
• Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations

Cited by

• Implementing global Abelian symmetries in projected entangled-pair state algorithms