We analyze the coherence properties of polarized neutrons, after they have
interacted with a magnetic field or a phase shifter undergoing different ki
nds of statistical fluctuations. We endeavor to probe the degree of disorde
r of the distribution of the phase shifts by means of the loss of quantum-m
echanical coherence of the neutron. We find that the notion of entropy of t
he shifts and that of decoherence of the neutron do not necessarily agree.
In some cases: the neutron wave function is more coherent, even though it h
as interacted with a more disordered medium.