  The field of quantum turbulence is related to the manifestation of turbulence
in quantum fluids, such as liquid helium and ultracold gases. The concept of
turbulence in quantum systems was conceived more than 70 years ago by Onsager
and Feynman, but the study of turbulent ultracold gases is very recent.
Although it is a young field, it already provides new approaches to the problem
of turbulence. We review the advances and present status, of both theory and
experiments, concerning atomic Bose-Einstein condensates (BECs). We present the
difficulties of characterizing turbulence in trapped BECs, if compared to
classical turbulence or turbulence in liquid helium. We summarize the
challenges ahead, mostly related to the understanding of fundamental properties
of quantum turbulence, including what is being done to investigate them.
