We calculate the electric flux and magnetic monopole current distribut
ion in the presence of a static quark-antiquark pair for SU (2) lattic
e gauge theory in the maximal Abelian gauge. The current distribution
confines the flux in a dual Abrikosov vortex whose core size is compar
able to the flux penetration depth. The observed structure is describe
d by a dual Ginzburg-Landau model.