We studied magnetic field dependence of magnetization relaxation in Bi
2Sr2CaCu2O8+y single crystals down to 500 mK. In the quantum collectiv
e creep (QCC) regime at low temperatures, the normalized relaxation ra
te S as a function of field shows a characteristic dip at low fields.
We ascribe the origin of this dip to the 2D-3D dimensional crossover i
n the vortex system. At higher temperatures, the field dependence of S
is more complicated. We discuss the field dependence of S based on tw
o competing mechanisms due to QCC and thermally activated motion of vo
rtices.