A cavity quantum electrodynamics implementation of the Sachdev--Ye--Kitaev model

• URL: http://arxiv.org/abs/2303.11343v1
• Date: Mon, 20 Mar 2023 18:00:00 GMT
• Title: A cavity quantum electrodynamics implementation of the Sachdev--Ye--Kitaev model
• Authors: Philipp Uhrich and Soumik Bandyopadhyay and Nick Sauerwein and Julian Sonner and Jean-Philippe Brantut and Philipp Hauke
• Abstract summary: We propose a feasible implementation of the SYK model in cavity quantum electrodynamics platforms. We show how driving a cloud of fermionic atoms trapped in a multi-mode optical cavity retrieves the physics of the SYK model. Our work provides a blueprint for realising the SYK model in a scalable system, with the prospect of studying holographic quantum matter in the laboratory.
• Score: 9.987055028382876
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The search for a quantum theory of gravity has led to the discovery of quantum many-body systems that are dual to gravitational models with quantum properties. The perhaps most famous of these systems is the Sachdev-Ye-Kitaev (SYK) model. It features maximal scrambling of quantum information, and opens a potential inroad to experimentally investigating aspects of quantum gravity. A scalable laboratory realisation of this model, however, remains outstanding. Here, we propose a feasible implementation of the SYK model in cavity quantum electrodynamics platforms. Through detailed analytical and numerical demonstrations, we show how driving a cloud of fermionic atoms trapped in a multi-mode optical cavity, and subjecting it to a spatially disordered AC-Stark shift retrieves the physics of the SYK model, with random all-to-all interactions and fast scrambling. Our work provides a blueprint for realising the SYK model in a scalable system, with the prospect of studying holographic quantum matter in the laboratory.

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