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Entanglement negativity in the critical Ising chain

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arxiv 1302.1113 v1 pith:THX7KIXO submitted 2013-02-05 cond-mat.stat-mech hep-thquant-ph

classification cond-mat.stat-mechhep-thquant-ph
keywords blockschaincriticalentanglementfiniteisinglengthnegativity
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We study the scaling of the traces of the integer powers of the partially transposed reduced density matrix and of the entanglement negativity for two spin blocks as function of their length and separation in the critical Ising chain. For two adjacent blocks, we show that tensor network calculations agree with universal conformal field theory (CFT) predictions. In the case of two disjoint blocks the CFT predictions are recovered only after taking into account the finite size corrections induced by the finite length of the blocks.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A Toy Model for Topological Entanglement Features in 1+1D Integrable Quantum Field Theory

    hep-th 2026-07 conditional novelty 6.0 of 10

    In the Federbush model, branch-point twist field form factors and first-order quench corrections are independent of the topological coupling λ, so Rényi entropies of the infinite-volume vacuum match two free Dirac fermions.

  2. Modular evolutions and causality in two-dimensional conformal field theory

    hep-th 2025-01 accept novelty 6.0 of 10

    Modular flows preserve causal spacetime ordering inside causal diamonds, but a bilocal modular Hamiltonian can violate local commutativity at spacelike distances.

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