Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction

Orus, Roman and Vidal, Guifre (2009) Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction. Physical Review B, 80 9: 094403-1-094403-4. doi:10.1103/PhysRevB.80.094403

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Author Orus, Roman
Vidal, Guifre
Title Simulation of two-dimensional quantum systems on an infinite lattice revisited: Corner transfer matrix for tensor contraction
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
1550-235X
Publication date 2009-09-08
Year available 2009
Sub-type Article (original research)
DOI 10.1103/PhysRevB.80.094403
Open Access Status File (Publisher version)
Volume 80
Issue 9
Start page 094403-1
End page 094403-4
Total pages 4
Editor P. D. Adams
Place of publication College Park, MD, United States
Publisher Americal Physical Society
Collection year 2010
Language eng
Subject 970102 Expanding Knowledge in the Physical Sciences
020603 Quantum Information, Computation and Communication
Abstract An extension of the projected entangled-pair states (PEPS) algorithm to infinite systems, known as the iPEPS algorithm, was recently proposed to compute the ground state of quantum systems on an infinite two dimensional lattice. Here we investigate a modification of the iPEPS algorithm, where the environment is computed using the corner transfer matrix renormalization group (CTMRG) method, instead of using one-dimensional transfer matrix methods as in the original proposal. We describe a variant of the CTMRG that addresses different directions of the lattice independently, and use it combined with imaginary time evolution to compute the ground state of the two dimensional quantum Ising model. Near criticality, the modified iPEPS algorithm is seen to provide a better estimation of the order parameter and correlators.
Keyword Ground states
Ising model
Lattice dynamics
Renormalisation
Models
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2010 Higher Education Research Data Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 66 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 70 times in Scopus Article | Citations
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Created: Thu, 12 Nov 2009, 12:00:10 EST by Mr Andrew Martlew on behalf of Physics