Document Detail


Multipartite entanglement signature of quantum phase transitions.
MedLine Citation:
PMID:  17155445     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
We derive a general relation between the nonanalyticities of the ground state energy and those of a subclass of the multipartite generalized global entanglement (GGE) measure defined by de Oliveira et al. [Phys. Rev. A 73, 010305(R) (2006)] for many-particle systems. We show that GGE signals both a critical point location and the order of a quantum phase transition (QPT). We also show that GGE allows us to study the relation between multipartite entanglement and QPTs, suggesting that multipartite but not bipartite entanglement is favored at the critical point. Finally, using GGE we were able, at a second-order QPT, to define a diverging entanglement length (EL) in terms of the usual correlation length. We exemplify this with the XY spin-1/2 chain and show that the EL is half the correlation length.
Authors:
Thiago R de Oliveira; Gustavo Rigolin; Marcos C de Oliveira; Eduardo Miranda
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Publication Detail:
Type:  Journal Article     Date:  2006-10-23
Journal Detail:
Title:  Physical review letters     Volume:  97     ISSN:  0031-9007     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2006 Oct 
Date Detail:
Created Date:  2006-12-12     Completed Date:  2007-06-19     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  170401     Citation Subset:  -    
Affiliation:
Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, CEP 13083-970, Campinas, São Paulo, Brazil. tro@ifi.unicamp.br
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Erratum In:
Phys Rev Lett. 2007 Feb 16;98(7):079902

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