Eigenstate thermalization in the Sachdev-Ye-Kitaev model
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Publication:1706958
DOI10.1007/JHEP11(2017)149zbMATH Open1383.81258arXiv1707.08013WikidataQ112153913 ScholiaQ112153913MaRDI QIDQ1706958
Author name not available (Why is that?)
Publication date: 28 March 2018
Published in: (Search for Journal in Brave)
Abstract: The eigenstate thermalization hypothesis (ETH) explains how closed unitary quantum systems can exhibit thermal behavior in pure states. In this work we examine a recently proposed microscopic model of a black hole in AdS, the so-called Sachdev-Ye-Kitaev (SYK) model. We show that this model satisfies the eigenstate thermalization hypothesis by solving the system in exact diagonalization. Using these results we also study the behavior, in eigenstates, of various measures of thermalization and scrambling of information. We establish that two-point functions in finite-energy eigenstates approximate closely their thermal counterparts and that information is scrambled in individual eigenstates. We study both the eigenstates of a single random realization of the model, as well as the model obtained after averaging of the random disordered couplings. We use our results to comment on the implications for thermal states of the dual theory, i.e. the AdS black hole.
Full work available at URL: https://arxiv.org/abs/1707.08013
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