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SYK wormhole formation in real time

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arxiv 1912.03276 v2 pith:2PMH5MVZ submitted 2019-12-06 hep-th cond-mat.str-el

Juan Maldacena , Alexey Milekhin This is my paper · ORCID
classification hep-thcond-mat.str-el
keywords statetimewormholecoupleddynamicsformationrealbath
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We study the real time formation of the ground state of two coupled SYK models. This is a highly entangled state which is close to the thermofield double state and can be viewed as a wormhole. We start from a high temperature state, we let it cool by coupling to a cold bath. We numerically solve for the large N dynamics. Our main result is that the system forms a wormhole by going through a region with negative specific heat, taking time that is independent of N. The dynamics is smooth everywhere and it seems to follow the equilibrium thermodynamic configurations of the microcanonical ensemble. Also we comment on the relation between this coupled SYK model and Jackiw-Teitelboim gravity theory with bulk fields.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Entanglement production in the Sachdev-Ye-Kitaev Model and its variants

    quant-ph 2025-07 conditional novelty 6.0 of 10

    Entanglement production rates distinguish the spin-SYK model from fermionic SYK and binary SYK, and the differences only become visible at larger system sizes.

  2. Hot wormholes and chaos dynamics in a two-coupled SYK model

    hep-th 2025-01 conditional novelty 6.0 of 10

    First numerical Lyapunov exponents for the unstable hot wormhole phase of the two-coupled SYK model, obtained via cooling and periodic-driving protocols.

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