SYK wormhole formation in real time

Abstract

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.

arXiv commentv1: 23 pages + appendices, 14 figures. v2: typos fixed, references added

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• Traversable wormhole without interaction
• Approximate Quantum Codes From Long Wormholes
• On the black hole/string transition
• Sparse SYK and traversable wormholes
• More on Complex Sachdev-Ye-Kitaev Eternal Wormholes