Quantum simulation of holographic quantum matter – from quantum chaos to ultracold atoms in a cavity

Abstract

Holographic field theories represent a phase of matter that is dual to bulk gravity and that provides paradigms for non-Fermi-liquid behavior and for extreme quantum chaos, making it relevant for communities from quantum gravity, quantum information, and condensed matter. Quantum simulators based on ultracold atoms and similar platforms with pristine microscopic control offer the exciting prospect to probe its properties from first principles and in the presence of strong quantum fluctuations. However, it remains an exceedingly hard challenge to realize such holographic matter in quantum simulator laboratory experiments.