Citation
Dadras, Pouria (2021) Black Holes and Entanglement Entropy. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/pfnj-m623. https://resolver.caltech.edu/CaltechTHESIS:06022021-001831763
Abstract
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.)) | |||||||||
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| 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) | |||||||||
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| Defense Date: | 18 May 2021 | |||||||||
| Record Number: | CaltechTHESIS:06022021-001831763 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:06022021-001831763 | |||||||||
| DOI: | 10.7907/pfnj-m623 | |||||||||
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| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 14226 | |||||||||
| Collection: | CaltechTHESIS | |||||||||
| Deposited By: | Pouria Dadras | |||||||||
| Deposited On: | 03 Jun 2021 15:36 | |||||||||
| Last Modified: | 10 Jun 2021 15:47 |
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