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pubmed-article:18233268rdf:typepubmed:Citationlld:pubmed
pubmed-article:18233268pubmed:issue22lld:pubmed
pubmed-article:18233268pubmed:dateCreated2008-1-31lld:pubmed
pubmed-article:18233268pubmed:abstractTextWe 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.lld:pubmed
pubmed-article:18233268pubmed:languageenglld:pubmed
pubmed-article:18233268pubmed:journalhttp://linkedlifedata.com/r...lld:pubmed
pubmed-article:18233268pubmed:statusPubMed-not-MEDLINElld:pubmed
pubmed-article:18233268pubmed:monthNovlld:pubmed
pubmed-article:18233268pubmed:issn0031-9007lld:pubmed
pubmed-article:18233268pubmed:authorpubmed-author:VidalGGlld:pubmed
pubmed-article:18233268pubmed:issnTypePrintlld:pubmed
pubmed-article:18233268pubmed:day30lld:pubmed
pubmed-article:18233268pubmed:volume99lld:pubmed
pubmed-article:18233268pubmed:ownerNLMlld:pubmed
pubmed-article:18233268pubmed:authorsCompleteYlld:pubmed
pubmed-article:18233268pubmed:pagination220405lld:pubmed
pubmed-article:18233268pubmed:year2007lld:pubmed
pubmed-article:18233268pubmed:articleTitleEntanglement renormalization.lld:pubmed
pubmed-article:18233268pubmed:affiliationSchool of Physical Sciences, the University of Queensland, QLD 4072, Australia.lld:pubmed
pubmed-article:18233268pubmed:publicationTypeJournal Articlelld:pubmed