  We show how the two-band nature of superconductivity in noncentrosymmetric
compounds leads to a variety of novel nonuniform superconducting states induced
by a magnetic field. At low fields, a two-band helical state is realized, with
a distinctly non-BCS quasiparticle spectrum. At high fields, the
superconducting state becomes unstable towards the formation of a lattice of
topological phase solitons.
