  As strength of disorder enhances beyond a threshold value in many-body
systems, a fundamental transformation happens through which the entire spectrum
localizes, a phenomenon known as many-body localization. This has profound
implications as it breaks down fundamental principles of statistical mechanics,
such as thermalization and ergodicity. Due to the complexity of the problem,
the investigation of the many-body localization transition has remained a big
challenge. The experimental exploration of the transition point is even more
challenging as most of the proposed quantities for studying such effect are
practically infeasible. Here, we experimentally implement a scalable protocol
for detecting the many-body localization transition point, using the dynamics
of a $N=12$ superconducting qubit array. We show that the sensitivity of the
dynamics to random samples becomes maximum at the transition point which leaves
its fingerprints in all spatial scales. By exploiting three quantities, each
with different spatial resolution, we identify the transition point with
excellent match between simulation and experiment. In addition, one can detect
the evidence of mobility edge through slight variation of the transition point
as the initial state varies. The protocol is easily scalable and can be
performed across various physical platforms.
