Speaker
Description
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.
In this talk, I will discuss our proposal for a feasible implementation of the SYK model in cavity quantum electrodynamics platforms (cQED) [1]. I will motivate how driving a cloud of fermionic atoms trapped in a multi-mode optical cavity, and subjecting it to a spatially disordered AC-Stark shift, can realise an effective model which retrieves the physics of the SYK model, with random all-to-all interactions and fast scrambling.
Crucial to this endeavour are the ability to tune the number of cavity modes mediating the long-range interactions, as well as the size of the atomic cloud, as I will demonstrate at the hand of numeric simulations of the effective model’s dynamics.
A further milestone in realising the above proposal, is the ability to introduce disorder into the cavity-mediated interactions in a controlled way.
I will discuss results from recent cQED experiments, which demonstrated this ability in the quantum simulation of disordered spin models [2].
Our work demonstrates the increasing capabilities of cQED quantum simulators, showing how these may be leveraged in the pursuit of studying quantum gravity in the lab.
[1] P. Uhrich, S. Bandyopadhyay, N. Sauerwein, J. Sonner, J.-P. Brantut, and P. Hauke, A cavity quantum electrodynamics implementation of the Sachdev--Ye--Kitaev model, arXiv:2303.11343 [quant-ph]
[2] N. Sauerwein, F. Orsi, P. Uhrich, S. Bandyopadhyay, F. Mattiotti, T. Cantat-Moltrecht, G. Pupillo, P. Hauke, and J.-P. Brantut, Engineering random spin models with atoms in a high-finesse cavity, arXiv:2208.09421 [cond-mat.quant-gas]
