Dynamics of the area law of entanglement entropy

Stefan Leichenauer, Mudassir Moosa*, Michael Smolkin

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


We study the evolution of the universal area law of entanglement entropy when the Hamiltonian of the system undergoes a time dependent perturbation. In particular, we derive a general formula for the time dependent first order correction to the area law under the assumption that the field theory resides in a vacuum state when a small time-dependent perturbation of a relevant coupling constant is turned on. Using this formula, we carry out explicit calculations in free field theories deformed by a time dependent mass, whereas for a generic QFT we show that the time dependent first order correction is governed by the spectral function defining the two-point correlation function of the trace of the energy-momentum tensor. We also carry out holographic calculations based on the HRT proposal and find qualitative and, in certain cases, quantitative agreement with the field theory calculations.

Original languageAmerican English
Article number35
JournalJournal of High Energy Physics
Issue number9
StatePublished - 1 Sep 2016
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2016, The Author(s).


  • AdS-CFT Correspondence
  • Field Theories in Higher Dimensions


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