Simulating black hole quantum dynamics on an optical lattice using the complex Sachdev-Ye-Kitaev model

TL;DR

This paper proposes using the Sachdev-Ye-Kitaev (SYK) model on an optical lattice to simulate black hole quantum dynamics, providing a theoretical platform to explore holography and AdS/CFT duality with ultracold atoms.

Contribution

It introduces a low-energy model employing the SYK system on an optical lattice to simulate black hole physics and holographic principles in a controllable experimental setup.

Findings

SYK model exhibits emergent conformal symmetry at low energies

SYK demonstrates maximal chaos at large N, useful for holography

Proposes a theoretical platform for simulating black holes with ultracold atoms

Abstract

We propose a low energy model for simulating an analog black hole on an optical lattice using ultracold atoms. Assuming the validity of the holographic principle, we employ the Sachdev-Ye-Kitaev (SYK) model, which describes a system of randomly infinite range interacting fermions, also conjectured to be an exactly solvable UV-complete model for an extremal black hole in a higher dimensional Anti-de Sitter (AdS) dilaton gravity. At low energies, the SYK model exhibits an emergent conformal symmetry and is dual to the extremal black hole solution in near AdS2 spacetime. Furthermore, we show how the SYK maximally chaotic behaviour at large N limit, found to be dual to a gauge theory in higher dimensions, can also be employed as a non-trivial investigation tool for the holographic principle. The proposed setup is a theoretical platform to realize the SYK model with relevant exotic effects and behaviour at low energies as a highly non-trivial example of the AdS/CFT duality and a framework for studying black holes.