Cavity QED setup densifies disorder for quantum simulation

Rahel Lea Baumgartner of the University of Geneva and Pietro Pelliconi of Princeton University propose a new approach to simulating notoriously difficult all-to-all interacting and disordered many-body systems. The researchers detail how a Trotterization scheme can be used to actually densify the disorder within a model, a counterintuitive technique given that interactions often reduce disorder in quantum simulations. Their work centers on an implementation using a single-mode cavity QED platform to model the complex Sachdev-Ye-Kitaev model, with detailed analysis of effective couplings, interacting sites and quantum chaos probes. The study concludes with an investigation into the robustness of these findings against dissipation. A technique using Trotterization, a standard method for approximating quantum evolution, is now being applied to increase disorder within a quantum model, a counterintuitive step given that interactions typically reduce disorder in such simulations. This approach aims to create a more accurate representation of all-to-all interacting and disordered systems, notoriously difficult to simulate on quantum platforms. The work details a protocol for transforming a low-rank disordered model into a full-rank one…