Event Details & Abstracts
Abstract: I will review some aspects of our present understanding of many-body localization (MBL). MBL is Anderson localization of interacting systems in highly-excited states. I will focus mostly on the much-studied but not fully understood case of one-dimensional systems with quenched randomness and only short-range interactions. The localized MBL phase is a gapless critical phase, with energy gaps between eigenstates that are exponentially small in the system size. But it also has some things in common with gapped ground states: a shallow quasi-local unitary can fully disentangle all of the eigenstates. However, this unitary changes nonperturbatively under small changes in the Hamiltonian. This is due to there being ubiquitous many-body resonances. I will discuss how we studied these resonances, and their role in the phase diagram of these systems.
Some recent refs: Morningstar, et al., PRB 2022; Ha, et al., PRL 2023.
