Entanglement renormalization and gauge symmetry

Tagliacozzo, L. and Vidal, G. (2011) Entanglement renormalization and gauge symmetry. Physical Review B - Condensed Matter and Materials Physics, 83 11: 115127-1-115127-31. doi:10.1103/PhysRevB.83.115127

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Author Tagliacozzo, L.
Vidal, G.
Title Entanglement renormalization and gauge symmetry
Journal name Physical Review B - Condensed Matter and Materials Physics   Check publisher's open access policy
ISSN 1098-0121
Publication date 2011-03-16
Sub-type Article (original research)
DOI 10.1103/PhysRevB.83.115127
Open Access Status File (Publisher version)
Volume 83
Issue 11
Start page 115127-1
End page 115127-31
Total pages 31
Place of publication College Park, MD, United States
Publisher American Physical Society
Formatted abstract
A lattice gauge theory is described by a redundantly large vector space that is subject to local constraints and can be regarded as the low-energy limit of an extended lattice model with a local symmetry. We propose a numerical coarse-graining scheme to produce low-energy, effective descriptions of lattice models with a local symmetry such that the local symmetry is exactly preserved during coarse-graining. Our approach results in a variational ansatz for the ground state(s) and low-energy excitations of such models and, by extension, of lattice gauge theories. This ansatz incorporates the local symmetry in its structure and exploits it to obtain a significant reduction of computational costs. We test the approach in the context of a Z2 lattice gauge theory formulated as the low-energy theory of a specific regime of the toric code with a magnetic field, for lattices with up to 16×16 sites (162×2=512 spins) on a torus. We reproduce the well-known ground-state phase diagram of the model, consisting of a deconfined and spin-polarized phases separated by a continuous quantum phase transition, and obtain accurate estimates of energy gaps, ground-state fidelities, Wilson loops, and several other quantities.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ
Additional Notes Article # 115127

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 30 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 28 times in Scopus Article | Citations
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