Time evolution of entanglement entropy from a pulse

Apr, 2012
18 pages
Published in:
  • JHEP 12 (2012) 027
e-Print:

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Abstract: (Springer)
We calculate the time evolution of the entanglement entropy in a 1+1 CFT with a holographic dual when there is a localized left-moving packet of energy density. We find the gravity result agrees with a field theory result derived from the transformation properties of Rényi entropy. We are able to reproduce behavior which qualitatively agrees with CFT results of entanglement entropy of a system subjected to a local quench. In doing so we construct a finite diffeomorphism which tales three-dimensional anti-de Sitter space in the Poincaré patch to a general solution, generalizing the diffeomorphism that takes the Poincaré patch a BTZ black hole. We briefly discuss the calculation of correlation functions in these backgrounds and give results at large operator dimension.
Note:
  • 18 pages, 6 figures
  • entropy: entanglement
  • field theory: conformal
  • space: anti-de Sitter
  • duality: holography
  • dimension: 3
  • shock waves
  • symmetry: conformal
  • time dependence