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Disentangling the thermofield-double state

Dadras, Pouria (2022) Disentangling the thermofield-double state. Journal of High Energy Physics, 2022 (1). Art. No. 75. ISSN 1126-6708. doi:10.1007/JHEP01(2022)075.

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In this paper, we consider the evolution of the thermofield-double state under the double-traced operator that connects its both sides. We will compute the entanglement entropy of the resulting state using the replica trick for the large N field theory. To leading order, it can be computed from the two-point function of the theory, where, in CFTs, it is fixed by the symmetries. Due to the exponential decay of the interaction, the entanglement entropy saturates about the thermal time after the interaction is on. Next, we restrict ourselves to one dimension and assume that the theory at strong coupling is effectively described by the Schwarzian action. We then compute the coarse-grained entropy of the resulting state using the four-point function. The equality of the two entropies implies that the double-traced operators in our theory act coherently. In AdS/CFT correspondence where the thermofield-double state corresponds to a two-sided black hole, the action of a double-traced operator corresponds to shrinking or expanding the black hole in the bulk.

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Additional Information:© 2022 The Authors. 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. Article funded by SCOAP3. Received: October 28, 2021; Accepted: December 24, 2021; Published: January 14, 2022. I am grateful to J. Maldacena, D. Stanford, H. Verlinde for helpful discussions. I am grateful to J. Suh for making a comment on the first draft of the paper, to J. Preskill for insightful discussions, and especially to A. Kitaev for helpful discussions and comments at different stages of this project, without which I would not be able to finish the paper. I also acknowledge support from the Simons Foundation (award number 376205).
Funding AgencyGrant Number
Simons Foundation376205
Subject Keywords:AdS-CFT Correspondence, Black Hole
Issue or Number:1
Record Number:CaltechAUTHORS:20191223-153742405
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Official Citation:Dadras, P. Disentangling the thermofield-double state. J. High Energ. Phys. 2022, 75 (2022).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100422
Deposited By: Tony Diaz
Deposited On:23 Dec 2019 23:44
Last Modified:19 Jan 2022 18:33

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