  We examine a holographic model in which a U(1) symmetry and translational
invariance are broken spontaneously at the same time. Our construction provides
an example of a system with pair-density wave order, in which the
superconducting order parameter is spatially modulated but has a zero average.
In addition, the charge density oscillates at twice the frequency of the scalar
condensate. Depending on the choice of parameters, the model also admits a
state with co-existing superconducting and charge density wave orders, in which
the scalar condensate has a uniform component.
