Many-body localization in Bose-Hubbard model: evidence for the mobility edge

Ruixiao Yao, Jakub Zakrzewski

Published 2020-02-02Version 1

Motivated by recent experiments on interacting bosons in quasi-one-dimensional optical lattice [Nature {\bf 573}, 385 (2019)] we analyse theoretically properties of the system in the crossover between delocalized and localized regimes. We consider both uniform and density wave like initial states and compare their time dynamics. We define a new observable, the mean speed of transport at long times. It gives us an efficient estimate of the critical disorder for the crossover. In effect we show that a mobility edge present in the system is directly measurable in the experiment.