Source:http://linkedlifedata.com/resource/pubmed/id/18233268
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| Predicate | Object |
|---|---|
| rdf:type | |
| pubmed:issue |
22
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| pubmed:dateCreated |
2008-1-31
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| pubmed:abstractText |
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.
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| pubmed:language |
eng
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| pubmed:journal | |
| pubmed:status |
PubMed-not-MEDLINE
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| pubmed:month |
Nov
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| pubmed:issn |
0031-9007
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| pubmed:author | |
| pubmed:issnType |
Print
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| pubmed:day |
30
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| pubmed:volume |
99
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| pubmed:owner |
NLM
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| pubmed:authorsComplete |
Y
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| pubmed:pagination |
220405
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| pubmed:year |
2007
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| pubmed:articleTitle |
Entanglement renormalization.
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| pubmed:affiliation |
School of Physical Sciences, the University of Queensland, QLD 4072, Australia.
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| pubmed:publicationType |
Journal Article
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