  We propose a scheme to exhibit a Stern-Gerlach effect of n-component (n > 2)
high-dimensional ultraslow optical solitons in a coherent atomic system with (n
+ 1)-pod level configuration via electromagnetically induced transparency
(EIT). Based on Maxwell-Bloch equations, we derive coupled (3+1)-dimensional
nonlinear Schrodinger equations governing the spatial-temporal evolution of n
probe-field envelopes. We show that under EIT condition significant deflections
of the n components of coupled ultraslow optical solitons can be achieved by
using a Stern-Gerlach gradient magnetic field. The stability of the ultraslow
optical solitons can be realized by an optical lattice potential contributed
from a far-detuned laser field.
