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

• URL: http://arxiv.org/abs/2501.04660v2
• Date: Fri, 17 Jan 2025 07:22:46 GMT
• Title: Hot wormholes and chaos dynamics in a two-coupled SYK model
• Authors: Martí Berenguer, Javier Mas, Juan Santos-Suárez, Alfonso V. Ramallo,
• Abstract summary: We study the dynamics of chaos across the phase transition in a 2-coupled Sachdev-Ye-Kitaev (SYK) model. We employ two non-equilibrium protocols that allow access to the unstable "hot wormhole" phase. Our results uncover a rich structure within this phase, including both thermal and non-thermal solutions.
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• Abstract: We study the dynamics of chaos across the phase transition in a 2-coupled Sachdev-Ye-Kitaev (SYK) model, with a focus on the unstable "hot wormhole" phase. Using the Schwinger-Keldysh formalism, we employ two non-equilibrium protocols that allow access to this phase, which is inaccessible through equilibrium simulations: one involves cooling the system via a coupling to a thermal bath, while in the other we periodically drive the coupling parameter between the two sides. We numerically compute the Lyapunov exponents of the hot wormhole for the two cases. Our results uncover a rich structure within this phase, including both thermal and non-thermal solutions. These behaviors are analyzed in detail, with partial insights provided by the Schwarzian approximation, which captures certain but not all aspects of the observed dynamics.

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