On thermalization in the SYK and supersymmetric SYK models
Abstract
The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum chaos is often seen as a strong indication that the ansatz holds true. In this paper, we address the thermalization of energy eigenstates in the Sachdev-Ye-Kitaev model, a maximally chaotic model of strongly-interacting Majorana fermions. We numerically investigate eigenstate thermalization for specific few-body operators in the original SYK model as well as its supersymmetric extension and find evidence that these models satisfy ETH. We discuss the implications of ETH for a gravitational dual and the quantum information-theoretic properties of SYK it suggests.
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Cite
@article{arxiv.1710.03012,
title = {On thermalization in the SYK and supersymmetric SYK models},
author = {Nicholas Hunter-Jones and Junyu Liu and Yehao Zhou},
journal= {arXiv preprint arXiv:1710.03012},
year = {2018}
}
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