  The noncommutative space provides a framework to understand phenomena in
Planck scale physics. However, there is no any direct experimental evidence to
demonstrate the existence of noncommutative space. We propose an experimental
scheme based on the Aharonov-Bohm effect in the nano-scale quantum mechanics to
probe the phenomena in the noncommutative phase space. By the Seiberg-Witten
map, the free electrons of the nano-scale ring in noncommutative phase space
can be mapped equivalently to the quantum mechanical (Heisenberg's algebra)
phase space with an extra effective magnetic flux. We introduce two variables
related to the persistent current in the ring to probe the noncommutative phase
space effect. We give a value-independent criterion to detect the existence of
the noncommutative phase space. Namely the answer for existence or nonexistence
of the noncommutative phase space depends only on the trend of the curves,
rather than the values of the observation data. It can be expected to catch the
noncommutative phase-space effect by this scheme.
