Many-body localization of bosons in optical lattices

Piotr Sierant, Jakub Zakrzewski

Published 2017-12-07Version 1

We show that two bosonic systems directly realizable in optical lattices: Bose-Hubbard model with random interactions and Bose-Hubbard model with random on-site potential host many-body localized phase. Time evolution of initially prepared density wave states at sufficiently strong disorder reveals ergodicity breaking, whereas the close inspection of the intermediate regime suggests algebraic decay which may be attributed to subdiffusion (and Griffiths-like regions) in the studied systems. Starting with various initial states, we observe that the localization properties are energy-dependent which, together with statistical properties of energy spectrum, reveals an inverted many-body localization edge in both systems. The ergodicity breaking in the disordered Bose-Hubbard models is compared with the slowing-down of time evolution of the clean system at large interactions.