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2017

On thermalization in the SYK and supersymmetric SYK models

Hunter-Jones, Nicholas, Liu, Junyu, Zhou, Yehao

Understand

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 $\mathcal{N}=1$ supersymmetric extension and find evidence that these models satisfy ETH.