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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

Entanglement negativity in the critical Ising chain

classification cond-mat.stat-mech hep-thquant-ph
keywords blockschaincriticalentanglementfiniteisinglengthnegativity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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