Classical Simulation of Infinite-Size Quantum Lattice Systems in Two Spatial Dimensions

J. Jordan, R. Orus, G. Vidal, F. Verstraete, J. I. Cirac

Publications: Contribution to journalArticlePeer Reviewed

Abstract

We present an algorithm to simulate two-dimensional quantum lattice systems in the thermodynamic limit. Our approach builds on the projected entangled-pair state algorithm for finite lattice systems [F. Verstraete and J. I. Cirac, arxiv: cond-mat/0407066] and the infinite time-evolving block decimation algorithm for infinite one-dimensional lattice systems [G. Vidal, Phys. Rev. Lett. 98, 070201 (2007)]. The present algorithm allows for the computation of the ground state and the simulation of time evolution in infinite two-dimensional systems that are invariant under translations. We demonstrate its performance by obtaining the ground state of the quantum Ising model and analyzing its second order quantum phase transition.
Original languageEnglish
Article number250602
Number of pages4
JournalPhysical Review Letters
Volume101
Issue number25
DOIs
Publication statusPublished - 19 Dec 2008

Austrian Fields of Science 2012

  • 103025 Quantum mechanics

Keywords

  • TEMPERATURE SERIES EXPANSIONS
  • MANY-BODY THEORIES

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