Thermal state entanglement entropy on a quantum graph

A particle jumps between the nodes of a graph interacting with local spins. We show that the entanglement entropy of the particle with the spin network is related to the length of the minimum cycle basis. The structure of the thermal state is reminiscent of the string net of spin liquids.

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Veröffentlicht in:Physical review. E 2019-12, Vol.100 (6-1), p.062137-062137, Article 062137
Hauptverfasser: Verga, Alberto D, Elías, Ricardo Gabriel
Format: Artikel
Sprache:eng
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Zusammenfassung:A particle jumps between the nodes of a graph interacting with local spins. We show that the entanglement entropy of the particle with the spin network is related to the length of the minimum cycle basis. The structure of the thermal state is reminiscent of the string net of spin liquids.
ISSN:2470-0045
2470-0053
DOI:10.1103/PhysRevE.100.062137