Avalanche stability transition in interacting quasiperiodic systems

Coupling a 1D quasiperiodic interacting system to a Markovian bath, we study the avalanche instability of the many body localized phase numerically, finding that many body localization (MBL) likely exists in pseudorandom quasiperiodic systems in the thermodynamic limit for a disorder strength W>8 (to be compared with W>18 in the corresponding randomly disordered case). We support our conclusion by additionally developing real space RG arguments, and provide a detailed comparison between quasiperiodic and random MBL from the avalanche instability perspective, concluding that the two belong to different universality classes.