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.
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Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
July 2016
Taylor, Marika
5515acab-1bed-4607-855a-9e04252aec22
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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1507.06410.pdf
- Accepted Manuscript
Text
art_10.1007_JHEP07(2016)040.pdf
- Version of Record
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Accepted/In Press date: 30 June 2016
e-pub ahead of print date: 8 July 2016
Published date: July 2016
Organisations:
Applied Mathematics
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Local EPrints ID: 400426
URI: http://eprints.soton.ac.uk/id/eprint/400426
PURE UUID: e35c48cf-2b1a-4f9b-8ae6-d16e6d7b1997
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Date deposited: 16 Sep 2016 10:24
Last modified: 22 Aug 2025 02:06
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