  One of the most challenging tasks in physics has been understanding the route
an out-of-equilibrium system takes to its thermalized state. This problem can
be particularly overwhelming when one considers a many-body quantum system.
However, several recent theoretical and experimental studies have indicated
that some far-from-equilibrium systems display universal dynamics when close to
a so-called non-thermal fixed point (NTFP), following a rescaling of both space
and time. This opens up the possibility of a general framework for studying and
categorizing out-of-equilibrium phenomena into well-defined universality
classes. This paper reviews the recent advances in observing NTFPs in
experiments involving Bose gases. We provide a brief introduction to the theory
behind this universal scaling, focusing on experimental observations of NTFPs.
We present the benefits of NTFP universality classes by analogy with
renormalization group theory in equilibrium critical phenomena.
