We theoretically study the vortex states in superconducting multilayer
s of Nb/NbTi and Nb/NbZr. We solve the Ginzburg-Landau equations numer
ically and find two different vortex lattices as equilibrium vortex ph
ases. From the free energy calculations, we determine the phase bounda
ry between the vortex phases and map a phase diagram. The magnetizatio
n curve exhibits a jump at the phase boundary.