  Disorder is everywhere in nature and it has a fundamental impact on the
behavior of many quantum systems. The presence of a small amount of disorder,
in fact, can dramatically change the coherence and transport properties of a
system. Despite the growing interest in this topic, a complete understanding of
the issue is still missing. An open question, for example, is the description
of the interplay of disorder and interactions, which has been predicted to give
rise to exotic states of matter such as quantum glasses or many-body
localization. In this review, we will present an overview of experimental
observations with disordered quantum gases, focused on one-dimensional bosons,
and we will connect them with theoretical predictions.
