Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity

By I. Danshita, Masanori Hanada, Masaki Tezuka. 2016

177 citations recorded by the source corpus.

We suggest that the holographic principle, combined with recent technological advances in atomic, molecular, and optical physics, can lead to experimental studies of quantum gravity. As a specific example, we consider the Sachdev-Ye-Kitaev (SYK) model, which consists of spin-polarized fermions with an all-to-all complex random two-body hopping and has been conjectured to be dual to a certain quantum gravitational system. Achieving low-temperature states of the SYK model is interpreted as a realization of a stringy black hole, provided that the holographic duality is true. We introduce a variant of the SYK model, in which the random two-body hopping is real. This model is equivalent to the origincal SYK model in the large-$N$ limit. We show that this model can be created in principle by confining ultracold fermionic atoms into optical lattices and coupling two atoms with molecular states via photo-association lasers. This development serves as an important first step towards an experimental realization of such systems dual to quantum black holes. We also show how to measure out-of-time-order correlation functions of the SYK model, which allow for identifying the maximally chaotic property of the black hole.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/838a39f4ea48d043f4e22595466d9927c3e3a16a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Dmitry Bagrets
2. Alex Kamenev
3. A. Altland
4. Tom Mertens
5. D. Stanford
6. Zhenbin Yang
7. Phil Saad
8. Alexei Y. Kitaev

In Nuclear and High Energy Physics

1. Dmitry Bagrets
2. Alex Kamenev
3. A. Altland

In Statistical and Nonlinear Physics

1. A. Altland
2. Dmitry Bagrets
3. Alex Kamenev
4. D. Stanford
5. Tom Mertens
6. Alexei Y. Kitaev
7. Zhenbin Yang
8. E. Witten

Citations in the corpus

• Power-law out of time order correlation functions in the SYK model (2017, background): “The potential realization of a holographic principle of lowest possible dimension has triggered a surge of research activity on the SYK model and its quantum dynamics [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20].”