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Entanglement Entropy of Quantum Wire Junctions

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arxiv 1110.5713 v2 pith:TM4EMJHW submitted 2011-10-26 cond-mat.stat-mech hep-thquant-ph

Entanglement Entropy of Quantum Wire Junctions

classification cond-mat.stat-mech hep-thquant-ph
keywords edgeentanglementgraphbulkentropyjunctionquantumrest
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider a fermion gas on a star graph modeling a quantum wire junction and derive the entanglement entropy of one edge with respect to the rest of the junction. The gas is free in the bulk of the graph, the interaction being localized in its vertex and described by a non-trivial scattering matrix. We discuss all point-like interactions, which lead to unitary time evolution of the system. We show that for a finite number of particles N, the Renyi entanglement entropies of one edge grow as ln N with a calculable prefactor, which depends not only on the central charge, but also on the total transmission probability from the considered edge to the rest of the graph. This result is extended to the case with an harmonic potential in the bulk.

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Cited by 1 Pith paper

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  1. Entanglement in Presence of Topological Interfaces and Dualities

    hep-th 2026-07 conditional novelty 7.0

    Duality interfaces in 2d CFT project the vacuum entanglement spectrum onto a single symmetry sector, making the interface itself a physical symmetry-resolution filter.