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
1079-7114
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
C1
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