Many-Body Mobility Edge in Quantum Sun models

The 0-dimensional Quantum Sun model is an interacting model that exhibits sharp signatures of ergodicity breaking phase transition. Here, we show that the model exhibits a many-body mobility edge. We provide analytical arguments for its existence, complemented by the state-of-the-art numerical simulations. We also introduce the 0-dimensional Quantum Sun model with particle number conservation, and we argue that it shares many similarities with his unrestricted predecessor.