  Both in electroweak theory and QCD, the vacuum in strong magnetic fields
develops charged vector condensates once a critical value of the magnetic field
is reached. Both ground states have a similar Abrikosov lattice structure and
superconducting properties. It is the purpose of these proceedings to put the
condensates and their superconducting properties side by side and obtain a
global view on this type of condensates. Some peculiar aspects of the
superfluidity and backreaction of the condensates are also discussed.
