  A physical model called dressed photons, a composite system of photons and
excitation of electrons in the nano-particles, is effectively used in the realm
of near-field optics. Many interesting behaviors of dressed photons are known,
especially the rapid energy transfer and the accumulation to singular points,
e.g., points with strong dissipation. We propose a new modelling of dressed
photons based on quantum walks, especially Grover walks on semi-infinite graphs
which we call jellyfish graphs, and show a universal accumulation phenomena
around the point with strong dissipation.
