Eigenstate Thermalization in the Two-Site SYK and SYK Chain Models

• URL: http://arxiv.org/abs/2104.05291v2
• Date: Wed, 14 May 2025 20:59:51 GMT
• Title: Eigenstate Thermalization in the Two-Site SYK and SYK Chain Models
• Authors: Seyyed M. H. Halataei,
• Abstract summary: A recent study of R'enyi entanglement entropy in the SYK chain of Majorana fermions suggested that the model does not rapidly thermalize.<n>I examine the Eigenstate Thermalization Hypothesis (ETH) for both the SYK chain and the two-site SYK models using exact diagonalization.<n>I conclude that the finite-size SYK chain and two-site SYK models can rapidly thermalize with respect to generic few-body operators through the ETH mechanism.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A recent study of R\'enyi entanglement entropy in the SYK chain of Majorana fermions suggested that the model does not rapidly thermalize, despite being maximally chaotic. In this work, I examine the Eigenstate Thermalization Hypothesis (ETH) for both the SYK chain and the two-site SYK models using exact diagonalization. I show that single realizations of both models approximately satisfy ETH conditions, while ensemble averages strictly satisfy ETH. Therefore, I conclude that the finite-size SYK chain and two-site SYK models can rapidly thermalize with respect to generic few-body operators through the ETH mechanism. This suggests that the subthermal behavior observed in previous studies of R\'enyi entanglement entropy does not manifest in finite-size systems, and that these systems can thermalize rapidly via their light modes. It also indicates that the proposed gravitational dual may undergo rapid thermalization.

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