Exact Analysis of Entanglement in Gapped Quantum Spin Chains

DOI10.1103/PHYSREVB.76.012401arXivcond-mat/0702196MaRDI QIDQ6466115

Hosho Katsura, Takaaki Hirano, Yasuhiro Hatsugai

Publication date: 8 February 2007

Abstract: We 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, $2lo{g}_2(S+1)$, 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.

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