Wigner functions are used to describe various dephasing effects in neu
tron interferometry which are caused by thickness variations and densi
ty fluctuations of the phase shifter and by variations of the beam par
ameters. It will be shown that separated coherent Schrodinger-cat-like
states, which exist when large phase shifts are applied, are extremel
y fragile and sensitive to any kind of imperfections. The related deph
asing factor depends quadratically on the spatial separation of the co
herent states which permits the definition of an upper limit of feasib
le coherent packet separation. The results show that dephasing is an u
navoidable effect caused by intrinsic fluctuations inherent to any phy
sical system.