I will talk about a new type of models called quantum breakdown model simulating the electrical breakdown process, which have interactions leading to particles generating more and more particles when moving forward. Such models can have conserved charges non-commuting with translation, and exhibit Hilbert space fragmentations into Krylov subspaces and intriguing quantum dynamics. For the simplest 1D model with N=3 fermions per site, we analytically show it is almost exactly solvable at zero disorder, and exhibits many-body localization (MBL) at nonzero disorder. For N>3 fermions, numerical calculations also reveal quantum scar states and MBL physics. I will further present generalizations of the fermion model, which include boson model, model with charge-breaking hopping, and model in 2D, and I will show they exhibit a rich variety of physics in ground states and non-thermalizing dynamics.
Condensed Matter Theory Seminar - Biao Lian - “The quantum breakdown model: Krylov subspaces and many-body localization”
Thursday, November 16, 2023 - 1:00pm to 2:00pm
Sloane Physics Laboratory SPL, Room 51
217 Prospect StreetNew Haven, CT 06511
Biao Lian - Princeton University