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Black Holes and Entanglement Entropy


Dadras, Pouria (2021) Black Holes and Entanglement Entropy. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/pfnj-m623.


We study the deformation of the thermofield-double (TFD) under evolution by a double-traced operator by computing its entanglement entropy. After saturation, the entanglement change leads to the temperature change. In Jackiw-Teitelboim gravity, the new temperature can be computed independently from two-point function by considering the Schwarzian modes. We will also derive the entanglement entropy from the Casimir associated with the SL(2,R) symmetry. From AdS/CFT correspondence, where TFD is dual to a two-sided black hole, such deformations correspond to the coherent shrinking or expansion of the black hole.

Next, we compute the entanglement entropy after coupling a system to the bath perturbatively as a function of κ, the system-bath coupling. At very early times where the entanglement entropy is a logarithmic function of time, the leading contribution is due to the terms of order 2s in the coupling where s is the number of replicas. In the middle time, the entanglement goes linear as a function of time. Assuming saturation at a later time, we will study the effect of an external perturbation to the entropy at an early time where it is related to the OTOCs. A major simplification appears when the system saturates the chaos bound.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:Black holes, entanglement entropy, system, bath, soft modes
Degree Grantor:California Institute of Technology
Division:Physics, Mathematics and Astronomy
Major Option:Physics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Kitaev, Alexei
Thesis Committee:
  • Kapustin, Anton N. (chair)
  • Simmons-Duffin, David
  • Carroll, Sean M.
  • Kitaev, Alexei
Defense Date:18 May 2021
Record Number:CaltechTHESIS:06022021-001831763
Persistent URL:
Related URLs:
URLURL TypeDescription adapted to Chapter 5. adapted to Chapter 4.
Dadras, Pouria0000-0002-5077-3533
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:14226
Deposited By: Pouria Dadras
Deposited On:03 Jun 2021 15:36
Last Modified:10 Jun 2021 15:47

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