Quantum quench of the Sachdev-Ye-Kitaev Model

Abstract

We describe the non-equilibrium dynamics of the Sachdev-Ye-Kitaev models of fermions with all-to-all interactions. These provide tractable models of the dynamics of quantum systems without quasiparticle excitations. The Kadanoff-Baym equations show that the final state is thermal, and their numerical analysis appears consistent with a thermalization rate proportional to the absolute temperature of the final state. We also obtain an exact analytic solution of the non-equilibrium dynamics in the large $q$ limit of a model with $q$ fermion interactions: in this limit, the thermalization of the fermion Green's function is instantaneous.

arXiv comment35 pages, 9 figures; (v2) added clarifications and refs

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• Slow relaxation and diffusion in holographic quantum critical phases
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• Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
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• Universal Constraints on Energy Flow and SYK Thermalization
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• Entanglement Entropy and its Quench Dynamics for Pure States of the Sachdev-Ye-Kitaev model
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• Thermalization of non-Fermi-liquid electron-phonon systems: Hydrodynamic relaxation of the Yukawa-Sachdev-Ye-Kitaev model
• SYK wormhole formation in real time
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• Far from equilibrium field theory for strongly coupled light and matter: dynamics of frustrated multi-mode cavity QED
• Global phase diagram of the one-dimensional Sachdev-Ye-Kitaev model at finite $N$
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• Dynamics and level statistics of interacting fermions in the Lowest Landau Level
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