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Generalized entanglement entropy

Generalized entanglement entropy
Generalized entanglement entropy
We discuss two measures of entanglement in quantum field theory and their holographic realizations. For field theories admitting a global symmetry, we introduce a global symmetry entanglement entropy, associated with the partitioning of the symmetry group. This quantity is proposed to be related to the generalized holographic entanglement entropy defined via the partitioning of the internal space of the bulk geometry. Thesecond measure of quantum field theory entanglement is the field space entanglement entropy, obtained by integrating out a subset of the quantum fields. We argue that field space entanglement entropy cannot be precisely realised geometrically in a holographic dual. However, for holographic geometries with interior decoupling regions, the differential entropy provides a close analogue to the field space entanglement entropy. We derive generic descriptions of such inner throat regions in terms of gravity coupled to massive scalars and show how the differential entropy in the throat captures features of the field space entanglement entropy.
1-40
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22

Taylor, Marika (2016) Generalized entanglement entropy. Journal of High Energy Physics, 2016 (40), 1-40. (doi:10.1007/JHEP07(2016)040).

Record type: Article

Abstract

We discuss two measures of entanglement in quantum field theory and their holographic realizations. For field theories admitting a global symmetry, we introduce a global symmetry entanglement entropy, associated with the partitioning of the symmetry group. This quantity is proposed to be related to the generalized holographic entanglement entropy defined via the partitioning of the internal space of the bulk geometry. Thesecond measure of quantum field theory entanglement is the field space entanglement entropy, obtained by integrating out a subset of the quantum fields. We argue that field space entanglement entropy cannot be precisely realised geometrically in a holographic dual. However, for holographic geometries with interior decoupling regions, the differential entropy provides a close analogue to the field space entanglement entropy. We derive generic descriptions of such inner throat regions in terms of gravity coupled to massive scalars and show how the differential entropy in the throat captures features of the field space entanglement entropy.

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More information

Accepted/In Press date: 30 June 2016
e-pub ahead of print date: 8 July 2016
Published date: July 2016
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 400426
URI: http://eprints.soton.ac.uk/id/eprint/400426
PURE UUID: e35c48cf-2b1a-4f9b-8ae6-d16e6d7b1997
ORCID for Marika Taylor: ORCID iD orcid.org/0000-0001-9956-601X

Catalogue record

Date deposited: 16 Sep 2016 10:24
Last modified: 22 Nov 2021 03:02

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