  Superconducting systems such as those modeled by the Kitaev Hamiltonian are
found to exhibit the Zitterbewegung (ZB) oscillations. Remarkably, the
dispersion relation in one-dimensional Kitaev systems allows for wavepackets of
arbitrary size undergoing non-decaying ZB without any distortion, with the
typical ZB amplitude being one lattice site. To motivate possible experimental
interest in this dynamical aspect of superconducting systems, we further show
that certain on-resonance modulation of the Hamiltonian parameter can be
exploited to convert ZB oscillations to net drifting of particle's wavepacket
and hole's wavepacket along opposite directions, leading to long-distance
particle-hole separation.
