Exact Analysis of Entanglement in Gapped Quantum Spin Chains

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dc.creatorKatsura, Hosho
dc.creatorHirano, Takaaki
dc.creatorHatsugai, Yasuhiro
dc.date2007-02-08
dc.date.accessioned2026-07-07T08:17:40Z
dc.date.available2026-07-07T08:17:40Z
dc.descriptionWe investigate the entanglement properties of the valence-bond-solid states with generic integer-spin $S$. Using the Schwinger boson representation of the valence-bond-solid states, the entanglement entropy, the von Neumann entropy of a subsystem, is obtained exactly and its relationship with the usual correlation function is clarified. The saturation value of the entanglement entropy, $2 \log_2 (S+1)$, is derived explicitly and is interpreted in terms of the edge-state picture. The validity of our analytical results and the edge-state picture is numerically confirmed. We also propose a novel application of the edge state as a qubit for quantum computation.
dc.description4 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0702196
dc.identifierhttp://arxiv.org/abs/cond-mat/0702196
dc.identifierPhys. Rev. B 76, 012401 (2007)
dc.identifierdoi:10.1103/PhysRevB.76.012401
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134173
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleExact Analysis of Entanglement in Gapped Quantum Spin Chains
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