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A. Kitaev, “A simple model of quantum holography.” Talks at KITP, April 7, 2015 and May 27, 2015
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M. Távora, E. Torres-Herrera, and L. F. Santos, “Inevitable power-law behavior of isolated many-body quantum systems and how it anticipates thermalization,” Physical Review A
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2017

Eigenstate thermalization in the Sachdev-Ye-Kitaev model

Sonner, Julian, Vielma, Manuel

Understand

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$_2$, 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.