Quantum simulation of holographic quantum matter

Abstract

Holographic quantum matter (i.e., field theories that are dual to bulk gravity) represent paradigms for non-Fermi-liquid behavior and for extreme quantum chaos, cementing a deep interest throughout communities ranging from quantum gravity, over quantum information, to condensed matter. Yet, existing laboratory implementations in quantum simulators have been able to tackle only relatively small systems. In this talk, I will present our ongoing efforts towards scalably realizing the Sachdev-Ye-Kitaev model, a paradigm for holographic quantum matter, by analog quantum simulation in cavity QED setups. I will discuss first experimental steps done by the group of Jean-Philippe Brantut, EPF Lausanne, the realization of a disordered spin system showing grey polaritons and finite-size disorder transitions. I will also discuss how deformations such as algebraic power-law interactions affect the behavior of such systems as well as how non-stabilizerness and entanglement increase as one reaches the holographic and chaotic regime. With this talk, I aim to illustrate the extreme richness of physics encountered in the quantum simulation of holographic models.