Many-Body Mobility Edge in Quantum Sun models

TL;DR

This paper demonstrates the existence of a many-body mobility edge in the quantum sun model, combining analytical insights and numerical simulations to explore ergodicity breaking and phase transitions.

Contribution

It provides the first analytical and numerical evidence of a many-body mobility edge in the quantum sun model, including a version with particle number conservation.

Findings

Presence of a many-body mobility edge in the quantum sun model

Analytical and numerical evidence supporting ergodicity breaking

Similarities between particle-number conserving and unrestricted models

Abstract

The 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 analysing gap ratios, Thouless times as well as entanglement entropy of eigenstates. We also introduce the quantum sun model with particle number conservation, and we argue that it shares many similarities with his unrestricted predecessor.