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

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

URL: http://arxiv.org/abs/2411.12421v2
Date: Mon, 02 Dec 2024 12:30:46 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 of 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 system is of central interest in non-equilibrium quantum many-body physics. Here we present one such study analyzing the dynamics of 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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