Wigner Cat Phases: A finely tunable system for exploring the transition to quantum chaos (opens in new tab)

The transition to chaos for quantum dynamics is quantified via a finely tunable mixed random matrix ensemble. The {\it mixed Gaussian Orthogonal Ensemble (mGOE)} forms a pedagogically accessible family of systems in simulating {\it Many-Body Localization (MBL)} transitions. It can be tuned from chaotic to localized and heavy-tailed localized phases in a continuous fashion, providing an opportunity to explore new phases. We numerically study how the spectral properties of mGOE evolve during th...