Journal of High Energy Physics

, 2019:107 | Cite as

Universal local operator quenches and entanglement entropy

  • Arpan BhattacharyyaEmail author
  • Tadashi Takayanagi
  • Koji Umemoto
Open Access
Regular Article - Theoretical Physics


We present a new class of local quenches described by mixed states, parameterized universally by two parameters. We compute the evolutions of entanglement entropy for both a holographic and Dirac fermion CFT in two dimensions. This turns out to be equivalent to calculations of two point functions on a torus. We find that in holographic CFTs, the results coincide with the known results of pure state local operator quenches. On the other hand, we obtain new behaviors in the Dirac fermion CFT, which are missing in the pure state counterpart. By combining our results with the inequalities known for von-Neumann entropy, we obtain an upper bound of the pure state local operator quenches in the Dirac fermion CFT. We also explore predictions about the behaviors of entanglement entropy for more general mixed states.


AdS-CFT Correspondence Conformal Field Theory Black Holes 


Open Access

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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Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.Center for Gravitational Physics, Yukawa Institute for Theoretical PhysicsKyoto UniversityKyotoJapan
  2. 2.Indian Institute of TechnologyGandhinagarIndia
  3. 3.Kavli Institute for the Physics and Mathematics of the UniverseUniversity of TokyoChibaJapan

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