  The Josephson vortex formed in a superconductor-insulator-superconductor
(SIS) junction can affect the quantum mechanics of quasiparticles by creating
an effective adiabatic potential determined by the inhomogeneous distribution
of the phase difference of the order parameter along the junction. Starting
from the quasiclassical version of the Bogoliubov-de Gennes (BdG) theory, we
found the quasiparticle spectrum and the local density of states (DOS) both for
the isolated Josephson vortex and the vortex chain. The spatially resolved DOS
reveals a peculiar two-peak structure for each Josephson vortex, which can be
detected experimentally using the scanning tunneling microscopy/spectroscopy
techniques.

Superconductivity