Universal corrections to entanglement entropy of local quantum quenches

David, Justin R. ; Khetrapal, Surbhi ; Kumar, S. Prem (2016) Universal corrections to entanglement entropy of local quantum quenches Journal of High Energy Physics, 2016 (8). ISSN 1029-8479

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Official URL: http://doi.org/10.1007/JHEP08(2016)127

Related URL: http://dx.doi.org/10.1007/JHEP08(2016)127


We study the time evolution of single interval Rényi 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 ϵ. We show that, for local quenches produced by the action of a conformal primary field, the time dependence of Rényi and entanglement entropies at order ϵ2 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 ϵ2 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 μ. We calculate the time dependence of the order ϵ2 correction to the entanglement entropy for small μ, and show that the contribution at order μ 2 is universal. We verify our arguments against exact results for minimal models and the free fermion theory.

Item Type:Article
Source:Copyright of this article belongs to Springer Nature Switzerland AG.
Keywords:Field Theories in Lower Dimensions; Ads-cft Correspondence; Higher Spin Symmetry.
ID Code:117002
Deposited On:14 Apr 2021 08:23
Last Modified:14 Apr 2021 08:23

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