  We study the excitation spectra and the wave functions of quasiparticle bound
states at a vortex and an edge in bilayer Rashba superconductors under a
magnetic field. In particular, we focus on the quasiparticle states at the zero
energy in the pair-density wave state in a topologically non-trivial phase. We
numerically demonstrate that the quasiparticle wave functions with zero energy
are localized at both the edge and the vortex core if the magnetic field exceed
the critical value.
