The Sachdev-Ye-Kitaev (SYK) model consists of Q fermions with an all-to-
all random two-body hopping [1,2]. Its static state is a non-Fermi
liquid with nonzero entropy at vanishing temperature, which is called
the Sachdev-Ye (SY) state . Since the SY state has been conjectured
to be holographically dual to charged black holes with two-dimensional
anti-de Sitter horizons, the SYK model has attracted much attention as a
new theoretical tool for studying quantum gravity (see, e.g., Ref. ).
In this work, we propose a possible route for realizing the SYK model
experimentally with use of ultracold gases in optical lattices . We
also show how to measure out-of-time-order correlators of the SYK model,
which may allow for capturing one of the most crucial characteristics of
a black hole, namely maximally chaotic property.
 A. Y. Kitaev, "A simple model of quantum holograpy", KITP string
seminar and Entanglement 2015 program (Feb. 12, April 7, and May 27,
 S. Sachdev, Phys. Rev. X 5, 041025 (2015).
 S. Sachdev and J. Ye, Phys. Rev. Lett. 70, 3339 (1993).
 J. Maldacena and D. Stanford, Phys. Rev. D 94, 106002 (2016).
 I. Danshita, M. Hanada, and M. Tezuka, arXiv:1606.02454v2 [cond-mat.
quant-gas], to appear in PTEP.