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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

Pasquale Calabrese , Mihail Mintchev , Ettore Vicari This is my paper · ORCID
classification cond-mat.stat-mechhep-thquant-ph
keywords edgeentanglementgraphbulkentropyjunctionquantumrest
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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 2 Pith papers

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

  1. Entanglement in Presence of Topological Interfaces and Dualities

    hep-th 2026-07 conditional novelty 7.0 of 10

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

  2. Quantum Renyi relative entropies on a spin chain with interface defects

    cond-mat.stat-mech 2019-08 conditional novelty 6.0 of 10

    For a free-fermion chain with a hopping defect, the quantum Renyi relative entropies are expressed as a fitted formula that depends on the effective central charge and subsystem size.

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