  Condensation of bosons in Bose-Einstein condensates or Cooper pairs in
superconductors refers to a macroscopic occupation of a few single- or
two-particle states. A condensate is called "fragmented" if not a single, but
multiple states are macroscopically occupied. While fragmentation is known to
occur in particular Bose-Einstein condensates, we propose that fragmentation
naturally takes place in striped superconductors. To this end, we investigate
the nature of the superconducting ground state realized in the two-dimensional
$t$-$t^\prime$-$J$ model. In the presence of charge density modulations, the
condensate is shown to be fragmented and composed of partial condensates
located on the stripes. The fragments of the condensates hybridize to form an
extended macroscopic wave function across the system. The results are obtained
from evaluating the singlet-pairing two-particle density matrix of the ground
state on finite cylinders computed via the density matrix renormalization group
(DMRG) method. Our results shed light on the intricate relation between stripe
order and superconductivity in systems of strongly correlated electrons.
