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.
@article{arxiv.2001.05064,
title = {Quantum Walk and Dressed Photon},
author = {Misa Hamano and Hayato Saigo},
journal= {arXiv preprint arXiv:2001.05064},
year = {2020}
}