Jakub Zakrzewski: Many-body localization and its thermodynamics limit

Last twenty years brought intensive studies of many-body localization (MBL) both theoretical and experimental. While experiments always deal with finite samples and their dynamics for a limited time, the question remains whether many-body localization exists in the thermodynamic limit as a separate phase or rather it is a transient, small systems phenomenon. Existing mathematical proofs are not widely accepted. During the seminar I will describe numerical attempts aiming at finding MBL via spectral statistics or time dynamics. As in recent review, P. Sierant et al, Many-Body Localization in the Age of Classical Computing arXiv:2403.07111 we shall not give an definite solution but rather discuss open questions.