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dc.contributor.authorPatil, Pranayen_US
dc.contributor.authorTang, Yingen_US
dc.contributor.authorKatz, Emanuelen_US
dc.contributor.authorSandvik, Anders W.en_US
dc.date.accessioned2018-12-06T19:06:06Z
dc.date.available2018-12-06T19:06:06Z
dc.date.issued2017-07-27
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000406523600004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e74115fe3da270499c3d65c9b17d654
dc.identifier.citationPranay Patil, Ying Tang, Emanuel Katz, Anders W Sandvik. 2017. "Indicators of conformal field theory: Entanglement entropy and multiple-point correlators." Physical Review B, Volume 96, Issue 4, 045140. https://doi.org/10.1103/PhysRevB.96.045140
dc.identifier.issn2469-9950
dc.identifier.issn2469-9969
dc.identifier.urihttps://hdl.handle.net/2144/32897
dc.description.abstractThe entanglement entropy (EE) of quantum systems is often used as a test of low-energy descriptions by conformal field theory (CFT). Here we point out that this is not a reliable indicator, as the EE often shows the same behavior even when a CFT description is not correct (as long as the system is asymptotically scale-invariant). We use constraints on the scaling dimension given by the CFT with SU(2) symmetry to provide alternative tests with two- and four-point correlation functions, showing examples for quantum spin models in 1+1 dimensions. In the case of a critical amplitude-product state expressed in the valence-bond basis (where the amplitudes decay as a power law of the bond length and the wave function is the product of all bond amplitudes), we show that even though the EE exhibits the expected CFT behavior, there is no CFT description of this state. We provide numerical tests of the behavior predicted by CFT for the correlation functions in the critical transverse-field Ising chain and the J−Q spin chain, where the conformal structure is well understood. That behavior is not reproduced in the amplitude-product state.en_US
dc.description.sponsorshipWe thank I. Affleck, R. Melko, R. Thomale, A. Sen, and K. Penc for useful discussions. The computational work reported in this paper was performed in part on the Shared Computing Cluster administered by Boston University's Research Computing Services. A.W.S. is supported by the NSF under Grant No. DMR-1410126. (DMR-1410126 - NSF)en_US
dc.languageEnglish
dc.publisherAmerican Physical Societyen_US
dc.relation.ispartofPhysical Review B
dc.subjectScience & technologyen_US
dc.subjectTechnologyen_US
dc.subjectPhysical sciencesen_US
dc.subjectMaterials scienceen_US
dc.subjectPhysics, applieden_US
dc.subjectPhysics, condensed matteren_US
dc.subjectMaterials scienceen_US
dc.subjectPhysicsen_US
dc.titleIndicators of conformal field theory: Entanglement entropy and multiple-point correlatorsen_US
dc.typeArticleen_US
dc.description.versionAccepted manuscripten_US
dc.identifier.doi10.1103/PhysRevB.96.045140
pubs.elements-sourceweb-of-scienceen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Physicsen_US
pubs.publication-statusPublisheden_US
dc.identifier.orcid0000-0002-5638-4619 (Sandvik, Anders W)


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