  As a signature of competing correlations, stripes occur in a variety of
strongly correlated systems, such as high temperature superconductors (SCs) and
quantum Hall effect. We study a double layer SC in the presence of a parallel
magnetic field $B$ within the Bogoliubov-de Gennes framework. We find that for
low $B$ the system remains in the ``Bardeen-Cooper-Schrieffer (BCS) phase" with
a spatially uniform gap, but with increasing $B$, a transition occurs into a
phase which contains stripes of the BCS phase separated by regions where the
interlayer phase difference rotates by $2\pi$ due to the presence of
inter-layer vortices. This stripe phase is predicted to manifest through
oscillations in the amplitude of the SC gap and an alternating pattern of
supercurrents. We will comment on the relation to previous works based on the
Landau-Ginzburg formalism as well as on the possible experimental realization
and signature of this phase.
