Entanglement renormalization

Vidal, G. (2007) Entanglement renormalization. Physical Review Letters, 99 22: 220405.1-220405.4. doi:10.1103/PhysRevLett.99.220405

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Author Vidal, G.
Title Entanglement renormalization
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 0031-9007
Publication date 2007-11-28
Year available 2007
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.99.220405
Open Access Status File (Publisher version)
Volume 99
Issue 22
Start page 220405.1
End page 220405.4
Total pages 4
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2008
Language eng
Subject 249999 Physical Sciences not elsewhere classified
780102 Physical sciences
Abstract We propose a real-space renormalization group (RG) transformation for quantum systems on a D-dimensional lattice. The transformation partially disentangles a block of sites before coarse-graining it into an effective site. Numerical simulations with the ground state of a 1D lattice at criticality show that the resulting coarse-grained sites require a Hilbert space dimension that does not grow with successive RG transformations. As a result we can address, in a quasi-exact way, tens of thousands of quantum spins with a computational effort that scales logarithmically in the system's size. The calculations unveil that ground state entanglement in extended quantum systems is organized in layers corresponding to different length scales. At a quantum critical point, each relevant length scale makes an equivalent contribution to the entanglement of a block.
Keyword Physics, Multidisciplinary
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

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Created: Wed, 09 Apr 2008, 15:10:41 EST by Jo Hughes on behalf of School of Mathematics & Physics