[17p-Z14-1~9] 3.12 Nanoscale optical science and near-field optics

[17p-Z14-5] Enery transfer problem of dressed photon via weighted closed path representation of trapping state of quantum walks

〇Etsuo Segawa¹, Norio Konno¹ (1.Yokohama Nat Univ)

Keywords:dressed photon, quantum walk

In this talk, we attempt to theoretically reproduce the relation between the number of nano particles and the output strength transferred by dressed photon's energy transfer obtained by experiments using a mathematical toy model namely the quantum walk. To this end, we consider a quantum walk on a finite graph with sinks. We show that quantum walker survives in the internal graph even in the long time limit. The output can be regarded as the difference between $1$ and the survival probability. We clarify the mechanism from the view point of spectral analysis on this quantum walk, and the attractor space of this quantum walk is represented by weighted closed path in the graph.