Localization and Poisson statistics for the Quantum Sun Model (aka Avalanche model, Quantum Grain Model) (Amirali Hannani, UNIGE)

06.10.2025 16:15 – 18:00

Abstract:
In this talk, I first give a general overview of the concept of MBL (many-body localization), and I introduce the so-called quantum sun model (aka avalanche model/quantum grain model). Then, I discuss the significance of this model in the MBL community, including why it was introduced and its implications for the stability of MBL. Afterward, I present our result, proof of the localization, and Poisson statistics for this model in a certain range of parameters. Finally, I give some rough ideas about the proof: we first prove the result for the "free model" (sum of free disordered spin z), then we show that the interacting model is sufficiently "similar" to the free model by controlling the ratio of "in-resonance" levels. This is a joint work with Wojciech De Roeck.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-15, Séminaire Math Physics

entrée libre