Single-copy entanglement in a gapped quantum spin chain

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dc.creatorHadley, Christopher
dc.date2008-01-23
dc.date2008-04-08
dc.date.accessioned2026-07-07T09:35:57Z
dc.date.available2026-07-07T09:35:57Z
dc.descriptionThe single-copy entanglement of a given many-body system is defined [J. Eisert and M. Cramer, Phys. Rev. A. 72, 042112 (2005)] as the maximal entanglement deterministically distillable from a bipartition of a single specimen of that system. For critical (gapless) spin chains, it was recently shown that this is exactly half the von Neumann entropy [R. Orus, J. I. Latorre, J. Eisert, and M. Cramer, Phys. Rev. A 73, 060303(R) (2006)], itself defined as the entanglement distillable in the asymptotic limit: i.e. given an infinite number of copies of the system. It is an open question as to what the equivalent behaviour for gapped systems is. In this paper, I show that for the paradigmatic spin-S Affleck-Kennedy-Lieb-Tasaki chain (the archetypal gapped chain), the single-copy entanglement is equal to the von Neumann entropy: i.e. all the entanglement present may be distilled from a single specimen.
dc.descriptionTypos corrected; accepted for publication in Phys. Rev. Lett.; comments welcome
dc.identifierhttps://arxiv.org/abs/0801.3681
dc.identifierhttp://arxiv.org/abs/0801.3681
dc.identifierPhys. Rev. Lett. 100, 170001 (2008)
dc.identifierdoi:10.1103/PhysRevLett.100.177202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160008
dc.subjectQuantum Physics
dc.subjectStrongly Correlated Electrons
dc.titleSingle-copy entanglement in a gapped quantum spin chain
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