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Disentangling the Thermofield-double state

Dadras, Pouria (2019) Disentangling the Thermofield-double state. . (Unpublished)

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In this note we will study the evolution of the thermofield-double state under a quantum quench made by double traced operators in the context of SYK model. We will compute the entanglement entropy of the resulting state to second order in the coupling using the replica method. The entanglement entropy will increase (decrease) depending on the sign of the coupling. We will also compute the two point function to leading order. The system will thermalize again after a time of order t ∼ β/2pΔ with a new temperature, where p and Δ are the number of left and right Majorana fermions in the interaction hamiltonian and the scaling dimension of the Majorana fermions, respectively. From bulk point of view the decrease (increase) in entanglement entropy corresponds to the shrinking (expansion) of the black hole's event horizon.

Item Type:Report or Paper (Discussion Paper)
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Additional Information: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 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
Record Number:CaltechAUTHORS:20191223-153742405
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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:23 Dec 2019 23:44

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