Thermalization of a Closed Sachdev-Ye-Kitaev System in the Thermodynamic Limit

• URL: http://arxiv.org/abs/2411.12421v1
• Date: Tue, 19 Nov 2024 11:18:02 GMT
• Title: Thermalization of a Closed Sachdev-Ye-Kitaev System in the Thermodynamic Limit
• Authors: Santiago Salazar Jaramillo, Rishabh Jha, Stefan Kehrein,
• Abstract summary: We analyze the dynamics in a closed coupled Majorana SYK system. We find that the final stationary state reaches thermal equilibrium with respect to the Green's functions and energy.
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• Abstract: The question of thermalization of a closed quantum systems is of central interest in non-equilibrium quantum many-body physics. Here we present one such study analyzing the dynamics in a closed coupled Majorana SYK system. We have a large-$q$ SYK model prepared initially at equilibrium quenched by introducing a random hopping term, thus leading to non-equilibrium dynamics. We find that the final stationary state reaches thermal equilibrium with respect to the Green's functions and energy. Accordingly, the final state is characterized by calculating its final temperature and the thermalization rate. We provide a detailed review of analytical methods and derive the required Kadanoff-Baym equations which are then solved using the algorithm developed in this work. Our results display rich thermalization dynamics in a closed quantum system in the thermodynamic limit.

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