Implementing global Abelian symmetries in projected entangled-pair state algorithms

Bauer, B., Corboz, P., Orus, R. and Troyer, M. (2011) Implementing global Abelian symmetries in projected entangled-pair state algorithms. Physical Review B: Condensed Matter and Materials Physics, 83 12: . doi:10.1103/PhysRevB.83.125106

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Author Bauer, B.
Corboz, P.
Orus, R.
Troyer, M.
Title Implementing global Abelian symmetries in projected entangled-pair state algorithms
Journal name Physical Review B: Condensed Matter and Materials Physics   Check publisher's open access policy
ISSN 1098-0121
1550-235X
Publication date 2011-03-18
Sub-type Article (original research)
DOI 10.1103/PhysRevB.83.125106
Open Access Status File (Publisher version)
Volume 83
Issue 12
Total pages 8
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract Due to the unfavorable scaling of tensor-network methods with the refinement parameter M, new approaches are necessary to improve the efficiency of numerical simulations based on such states, in particular for gapless, strongly entangled systems. In one-dimensional density matrix renormalization group methods, the use of Abelian symmetries has led to large computational gain. In higher-dimensional tensor networks, this is associated with significant technical efforts and additional approximations. We explain a formalism to implement such symmetries in two-dimensional tensor-network states and present benchmark results that confirm the validity of these approximations in the context of projected entangled-pair state algorithms.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ
Additional Notes Article number 125106

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
 
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