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Entanglement Entropy of Quantum Wire Junctions

Calabrese, Pasquale and Mintchev, Mihail and Vicari, Ettore (2012) Entanglement Entropy of Quantum Wire Junctions. Journal of Physics A: Mathematical and Theoretical, 45 (10). p. 105206. ISSN 1751-8121

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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.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA
Depositing User: dott.ssa Sandra Faita
Date Deposited: 11 Feb 2014 23:40
Last Modified: 11 Feb 2014 23:40
URI: http://eprints.adm.unipi.it/id/eprint/1865

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