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)-dimensionalnonlinear Schrodinger equations governing the spatial-temporal evolution of nprobe-field envelopes. We show that under EIT condition significant deflectionsof the n components of coupled ultraslow optical solitons can be achieved byusing a Stern-Gerlach gradient magnetic field. The stability of the ultraslowoptical solitons can be realized by an optical lattice potential contributedfrom a far-detuned laser field.
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