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Universal corrections to entanglement entropy of local quantum quenches

Justin R. David, Surbhi Khetrapal, Prem Kumar Orcid Logo

Journal of High Energy Physics, Volume: 2016, Issue: 8

Swansea University Author: Prem Kumar Orcid Logo

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DOI (Published version): 10.1007/jhep08(2016)127

Abstract

We study the time evolution of single interval Renyi and entanglement entropies following local quantum quenches in two dimensional conformal field theories at finite temperature for which the locally excited states have a finite temporal width, \epsilon. We show that, for local quenches produced by...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2016
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28708
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Abstract: We study the time evolution of single interval Renyi and entanglement entropies following local quantum quenches in two dimensional conformal field theories at finite temperature for which the locally excited states have a finite temporal width, \epsilon. We show that, for local quenches produced by the action of a conformal primary field, the time dependence of Renyi and entanglement entropies at order \epsilon^2 is universal. It is determined by the expectation value of the stress tensor in the replica geometry and proportional to the conformal dimension of the primary field generating the local excitation. We also show that in CFTs with a gravity dual, the \epsilon^2 correction to the holographic entanglement entropy following a local quench precisely agrees with the CFT prediction. We then consider CFTs admitting a higher spin symmetry and turn on a higher spin chemical potential \mu. We calculate the time dependence of the order \epsilon^2 correction to the entanglement entropy for small \mu, and show that the contribution at order \mu^2 is universal. We verify our arguments against exact results for minimal models and the free fermion theory.
Keywords: Field Theories in Lower Dimensions; AdS-CFT Correspondence; Higher Spin Symmetry
College: Faculty of Science and Engineering
Issue: 8

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