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Geometric entanglement and quantum phase transition in generalized cluster-XY models

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Deger, Aydin
dc.contributor.author Wei, Tzu-Chieh
dc.date.accessioned 2019-10-04T13:38:42Z
dc.date.available 2019-10-04T13:38:42Z
dc.date.issued 2019-10
dc.identifier.citation Deger , A & Wei , T-C 2019 , ' Geometric entanglement and quantum phase transition in generalized cluster-XY models ' , Quantum Information Processing , vol. 18 , no. 10 , 326 . https://doi.org/10.1007/s11128-019-2439-7 en
dc.identifier.issn 1570-0755
dc.identifier.other PURE UUID: 919fd3a7-caf6-4887-a956-6d8bb02b505d
dc.identifier.other PURE ITEMURL: https://research.aalto.fi/en/publications/919fd3a7-caf6-4887-a956-6d8bb02b505d
dc.identifier.other PURE FILEURL: https://research.aalto.fi/files/37256111/Deger_Wei2019_Article_GeometricEntanglementAndQuantu.pdf
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/40582
dc.description.abstract In this work, we investigate quantum phase transition (QPT) in a generic family of spin chains using the ground-state energy, the energy gap and the geometric measure of entanglement (GE). In many of prior works, GE per site was used. Here, we also consider GE per block with each block size being two. This can be regarded as a coarse grain of GE per site. We introduce a useful parameterization for the family of spin chains that includes the XY models with n-site interaction, the GHZ-cluster model and a cluster antiferromagnetic model, the last of which exhibits QPT between a symmetry-protected topological (SPT) phase and a symmetry-breaking antiferromagnetic phase. As the models are exactly solvable, their ground-state wavefunctions can be obtained, and thus, their GE can be studied. It turns out that the overlap of the ground states with translationally invariant product states can be exactly calculated, and hence, the GE can be obtained via further parameter optimization. The QPTs exhibited in these models are detected by the energy gap and singular behavior of geometric entanglement. In particular, the XzY model exhibits transitions from the nontrivial SPT phase to a trivial paramagnetic phase. Moreover, the halfway XY model exhibits a first-order transition across the Barouch-McCoy circle, on which it was only a crossover in the standard XY model. en
dc.format.extent 41
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher SPRINGER
dc.relation.ispartofseries Quantum Information Processing en
dc.relation.ispartofseries Volume 18, issue 10 en
dc.rights openAccess en
dc.title Geometric entanglement and quantum phase transition in generalized cluster-XY models en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.contributor.department Centre of Excellence in Quantum Technology, QTF
dc.contributor.department State University of New York
dc.contributor.department Department of Applied Physics en
dc.subject.keyword Quantum entanglement
dc.subject.keyword Quantum phase transition
dc.subject.keyword Quantum spin chain
dc.subject.keyword STATISTICAL-MECHANICS
dc.subject.keyword STATE
dc.identifier.urn URN:NBN:fi:aalto-201910045599
dc.identifier.doi 10.1007/s11128-019-2439-7
dc.type.version publishedVersion

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