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Comments on Entanglement Negativity in Holographic Field Theories

Rangamani, Mukund; Rota, Massimiliano

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Authors

Mukund Rangamani

Massimiliano Rota



Abstract

We explore entanglement negativity, a measure of the distillable entanglement contained in a quantum state, in relativistic field theories in various dimensions. We first give a general overview of negativity and its properties and then explain a well known result relating (logarithmic) negativity of pure quantum states to the Rényi entropy (at index 1/2), by exploiting the simple features of entanglement in thermal states. In particular, we show that the negativity of the thermofield double state is given by the free energy difference of the system at temperature T and 2 T respectively. We then use this result to compute the negativity in the vacuum state of conformal field theories in various dimensions, utilizing results that have been derived for free and holographic CFTs in the literature. We also comment upon general lessons to be learnt about negativity in holographic field theories.

Citation

Rangamani, M., & Rota, M. (2014). Comments on Entanglement Negativity in Holographic Field Theories. Journal of High Energy Physics, 2014(10), Article 60. https://doi.org/10.1007/jhep10%282014%29060

Journal Article Type Article
Publication Date Oct 9, 2014
Deposit Date Oct 13, 2014
Publicly Available Date Mar 28, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2014
Issue 10
Article Number 60
DOI https://doi.org/10.1007/jhep10%282014%29060
Keywords Gauge-gravity correspondence, AdS-CFT correspondence.
Related Public URLs https://arxiv.org/abs/1406.6989

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
© The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.




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